Cremona's table of elliptic curves

24600 = 2³ · 3 · 5² · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 41-	Signs for the Atkin-Lehner involutions
Class	24600bm	Isogeny class
Conductor	24600	Conductor
∏ cp	210	Product of Tamagawa factors cp
deg	604800	Modular degree for the optimal curve
Δ	-1583609447418750000 = -1 · 24 · 37 · 58 · 415	Discriminant
Eigenvalues	2- 3- 5- -2 -3  2  1 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5343583,-4756580662]	[a1,a2,a3,a4,a6]
Generators	[3383:126075:1]	Generators of the group modulo torsion
j	-2699861305639598080/253377511587	j-invariant
L	5.9292957552397	L(r)(E,1)/r!
Ω	0.049648824107443	Real period
R	0.56868903139611	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	49200p1 73800bf1 24600g1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 24600bm1

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	-3	2	1	-2	6	-2	5	-10	-	3	-5	5	-6	-3	2	11	9	-8	-6	-9	18

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Quadratic twists for elliptic curve 24600bm1

-4	-3	5
49200p1	73800bf1	24600g1

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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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