Cremona's table of elliptic curves

1813 = 7² · 37

Field	Data	Notes
Atkin-Lehner	7- 37+	Signs for the Atkin-Lehner involutions
Class	1813a	Isogeny class
Conductor	1813	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	512127626437 = 712 · 37	Discriminant
Eigenvalues	1  0 -4 7-  4 -4  0  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-9319,346884]	[a1,a2,a3,a4,a6]
j	760798453689/4353013	j-invariant
L	0.93351975091755	L(r)(E,1)/r!
Ω	0.93351975091755	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	29008j2 116032k2 16317e2 45325h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1813a2

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	-4	-	4	-4	0	6	-4	-6	-2	+	6	-4	12	10	10	8	-4	0	-2	4	0	-16	-4

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Quadratic twists for elliptic curve 1813a2

-4	8	-3	5	-7	37
29008j2	116032k2	16317e2	45325h2	259a2	67081e2

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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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