Cremona's table of elliptic curves

4674 = 2 · 3 · 19 · 41

Field	Data	Notes
Atkin-Lehner	2+ 3+ 19- 41-	Signs for the Atkin-Lehner involutions
Class	4674a	Isogeny class
Conductor	4674	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	75264	Modular degree for the optimal curve
Δ	694488329530785792 = 214 · 37 · 193 · 414	Discriminant
Eigenvalues	2+ 3+  0  4 -4  4  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-240790,21363412]	[a1,a2,a3,a4,a6]
Generators	[-277:8318:1]	Generators of the group modulo torsion
j	1543980711301828683625/694488329530785792	j-invariant
L	2.6846208090436	L(r)(E,1)/r!
Ω	0.25698614391513	Real period
R	1.7410930982141	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	37392p1 14022h1 116850cj1 88806t1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 4674a1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	0	4	-4	4	2	-	-6	2	-6	0	-	-4	-6	-14	-12	-2	8	0	-2	-6	4	6	2

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Quadratic twists for elliptic curve 4674a1

-4	-3	5	-19
37392p1	14022h1	116850cj1	88806t1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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