Cremona's table of elliptic curves

3663 = 3² · 11 · 37

Field	Data	Notes
Atkin-Lehner	3- 11+ 37-	Signs for the Atkin-Lehner involutions
Class	3663c	Isogeny class
Conductor	3663	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	29373597 = 38 · 112 · 37	Discriminant
Eigenvalues	1 3-  0  0 11+  4 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1782,29403]	[a1,a2,a3,a4,a6]
Generators	[18:45:1]	Generators of the group modulo torsion
j	858729462625/40293	j-invariant
L	4.2306995334189	L(r)(E,1)/r!
Ω	1.9734219522867	Real period
R	1.0719196491446	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	58608bm2 1221c2 91575t2 40293l2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 3663c2

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	0	+	4	-2	-2	6	-2	4	-	-6	6	-12	-2	-10	0	4	-16	2	-14	-12	-12	10

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Quadratic twists for elliptic curve 3663c2

-4	-3	5	-11
58608bm2	1221c2	91575t2	40293l2

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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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