Cremona's table of elliptic curves

3818 = 2 · 23 · 83

Field	Data	Notes
Atkin-Lehner	2+ 23- 83-	Signs for the Atkin-Lehner involutions
Class	3818c	Isogeny class
Conductor	3818	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	-175628 = -1 · 22 · 232 · 83	Discriminant
Eigenvalues	2+ -1  0  1  5 -2 -1  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-5,-23]	[a1,a2,a3,a4,a6]
Generators	[8:19:1]	Generators of the group modulo torsion
j	-18609625/175628	j-invariant
L	2.2987688672353	L(r)(E,1)/r!
Ω	1.359605898786	Real period
R	0.42269029379907	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	30544k1 122176o1 34362h1 95450g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3818c1

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
+	-1	0	1	5	-2	-1	0	-	-9	7	-3	-2	8	-2	0	1	-15	2	6	-2	2	-	0	4

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Quadratic twists for elliptic curve 3818c1

-4	8	-3	5	-23
30544k1	122176o1	34362h1	95450g1	87814c1

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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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