Cremona's table of elliptic curves

24780 = 2² · 3 · 5 · 7 · 59

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7- 59-	Signs for the Atkin-Lehner involutions
Class	24780g	Isogeny class
Conductor	24780	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	1.7204901288581E+25	Discriminant
Eigenvalues	2- 3+ 5- 7- -2 -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-354131660,2557389543192]	[a1,a2,a3,a4,a6]
Generators	[10314:44250:1]	Generators of the group modulo torsion
j	19185716095397476354380450256/67206645658520771484375	j-invariant
L	4.8133389548302	L(r)(E,1)/r!
Ω	0.069580116624928	Real period
R	2.3058977134596	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	99120cv2 74340n2 123900w2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 24780g2

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

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Quadratic twists for elliptic curve 24780g2

-4	-3	5
99120cv2	74340n2	123900w2

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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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