Cremona's table of elliptic curves

23310 = 2 · 3² · 5 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 37-	Signs for the Atkin-Lehner involutions
Class	23310z	Isogeny class
Conductor	23310	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	6928696955129402880 = 29 · 324 · 5 · 7 · 372	Discriminant
Eigenvalues	2+ 3- 5- 7-  0 -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-723609,-200051667]	[a1,a2,a3,a4,a6]
Generators	[9122238:286642387:5832]	Generators of the group modulo torsion
j	57478893731908015249/9504385397982720	j-invariant
L	4.4364496710791	L(r)(E,1)/r!
Ω	0.16552780946115	Real period
R	13.400919415056	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	7770z2 116550dw2	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 23310z2

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
+	-	-	-	0	-4	6	2	0	6	-4	-	0	-10	-6	6	0	-10	-4	6	2	-10	0	-18	-10

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Quadratic twists for elliptic curve 23310z2

-3	5
7770z2	116550dw2

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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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