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	3818b	Isogeny class
Conductor	3818	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-2877489152 = -1 · 216 · 232 · 83	Discriminant
Eigenvalues	2+  1  2  1 -5  0  3 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,65,2578]	[a1,a2,a3,a4,a6]
Generators	[23:116:1]	Generators of the group modulo torsion
j	31047965207/2877489152	j-invariant
L	3.3689699890596	L(r)(E,1)/r!
Ω	1.0953151219727	Real period
R	0.76894993994787	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	30544l1 122176t1 34362j1 95450i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3818b1

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	2	1	-5	0	3	-8	-	1	7	7	6	-6	-12	10	-9	-1	14	-10	-8	-16	-	-14	8

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Quadratic twists for elliptic curve 3818b1

-4	8	-3	5	-23
30544l1	122176t1	34362j1	95450i1	87814b1

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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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