Cremona's table of elliptic curves

322 = 2 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 7- 23-	Signs for the Atkin-Lehner involutions
Class	322c	Isogeny class
Conductor	322	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	51842 = 2 · 72 · 232	Discriminant
Eigenvalues	2-  2 -2 7-  6 -4 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-14,-23]	[a1,a2,a3,a4,a6]
j	304821217/51842	j-invariant
L	2.4958069830358	L(r)(E,1)/r!
Ω	2.4958069830358	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	2576k2 10304o2 2898h2 8050d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 322c2

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

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Quadratic twists for elliptic curve 322c2

-4	8	-3	5	-7	-11	13	17	-19	-23
2576k2	10304o2	2898h2	8050d2	2254g2	38962j2	54418a2	93058h2	116242m2	7406g2

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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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