Cremona's table of elliptic curves

24480 = 2⁵ · 3² · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 17+	Signs for the Atkin-Lehner involutions
Class	24480z	Isogeny class
Conductor	24480	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-2496960 = -1 · 26 · 33 · 5 · 172	Discriminant
Eigenvalues	2- 3+ 5- -4 -6  2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,3,-76]	[a1,a2,a3,a4,a6]
Generators	[5:8:1]	Generators of the group modulo torsion
j	1728/1445	j-invariant
L	4.180479534598	L(r)(E,1)/r!
Ω	1.2001993380558	Real period
R	1.7415771705765	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	24480e1 48960j2 24480c1 122400j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24480z1

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
-	+	-	-4	-6	2	+	0	-4	-6	8	4	2	10	0	-2	4	14	-10	-10	8	16	12	0	-8

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Quadratic twists for elliptic curve 24480z1

-4	8	-3	5
24480e1	48960j2	24480c1	122400j1

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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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