Cremona's table of elliptic curves

23940 = 2² · 3² · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 19-	Signs for the Atkin-Lehner involutions
Class	23940n	Isogeny class
Conductor	23940	Conductor
∏ cp	108	Product of Tamagawa factors cp
Δ	15057512200200960 = 28 · 36 · 5 · 73 · 196	Discriminant
Eigenvalues	2- 3- 5+ 7-  0  2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-61743,123478]	[a1,a2,a3,a4,a6]
Generators	[2211:103306:1]	Generators of the group modulo torsion
j	139482396527056/80683685915	j-invariant
L	5.5332654048889	L(r)(E,1)/r!
Ω	0.33360678149663	Real period
R	5.5287299417452	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	95760da4 2660h4 119700p4	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 23940n4

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	2	6	-	0	6	-4	-4	0	-4	-12	-12	0	-10	-4	6	-10	2	0	0	-10

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Quadratic twists for elliptic curve 23940n4

-4	-3	5
95760da4	2660h4	119700p4

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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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