Cremona's table of elliptic curves

3703 = 7 · 23²

Field	Data	Notes
Atkin-Lehner	7+ 23-	Signs for the Atkin-Lehner involutions
Class	3703a	Isogeny class
Conductor	3703	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	8174985898247 = 74 · 237	Discriminant
Eigenvalues	-1  0 -2 7+ -4  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-65431,-6424168]	[a1,a2,a3,a4,a6]
j	209267191953/55223	j-invariant
L	0.29851149619758	L(r)(E,1)/r!
Ω	0.29851149619758	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	59248y4 33327g4 92575q4 25921b4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3703a3

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	-2	+	-4	6	2	-4	-	-2	-4	2	-6	-12	-12	10	0	-2	-12	8	-14	-8	4	-6	10

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Quadratic twists for elliptic curve 3703a3

-4	-3	5	-7	-23
59248y4	33327g4	92575q4	25921b4	161a3

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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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