Cremona's table of elliptic curves

814 = 2 · 11 · 37

Field	Data	Notes
Atkin-Lehner	2+ 11- 37-	Signs for the Atkin-Lehner involutions
Class	814a	Isogeny class
Conductor	814	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-285277696 = -1 · 29 · 11 · 373	Discriminant
Eigenvalues	2+ -2 -3  2 11-  2  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-50,-828]	[a1,a2,a3,a4,a6]
Generators	[12:12:1]	Generators of the group modulo torsion
j	-13430356633/285277696	j-invariant
L	1.1895559608869	L(r)(E,1)/r!
Ω	0.74862549011835	Real period
R	0.52966223948141	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	6512c2 26048a2 7326j2 20350v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 814a2

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
+	-2	-3	2	-	2	3	2	-6	6	-10	-	-12	8	3	-12	-12	8	-10	-3	-10	11	3	-12	-16

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Quadratic twists for elliptic curve 814a2

-4	8	-3	5	-7	-11	37
6512c2	26048a2	7326j2	20350v2	39886k2	8954h2	30118d2

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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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