Cremona's table of elliptic curves

24240 = 2⁴ · 3 · 5 · 101

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 101-	Signs for the Atkin-Lehner involutions
Class	24240j	Isogeny class
Conductor	24240	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	20480	Modular degree for the optimal curve
Δ	30535418880 = 210 · 310 · 5 · 101	Discriminant
Eigenvalues	2+ 3- 5+  0 -6 -4 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-816,-3420]	[a1,a2,a3,a4,a6]
Generators	[-24:54:1]	Generators of the group modulo torsion
j	58752499396/29819745	j-invariant
L	5.1743200685299	L(r)(E,1)/r!
Ω	0.94250303369023	Real period
R	0.54899770967003	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	12120b1 96960ck1 72720q1 121200j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24240j1

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	-6	-4	-4	4	4	-2	4	4	12	8	4	2	2	8	-12	-8	-10	4	-4	4	-14

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Quadratic twists for elliptic curve 24240j1

-4	8	-3	5
12120b1	96960ck1	72720q1	121200j1

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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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