Cremona's table of elliptic curves

62400 = 2⁶ · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13-	Signs for the Atkin-Lehner involutions
Class	62400eo	Isogeny class
Conductor	62400	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	1.2866640134029E+26	Discriminant
Eigenvalues	2- 3+ 5+  0  4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-171149633,667049887137]	[a1,a2,a3,a4,a6]
Generators	[-13872:609609:1]	Generators of the group modulo torsion
j	1082883335268084577352/251301565117746585	j-invariant
L	5.466640346549	L(r)(E,1)/r!
Ω	0.055132432615498	Real period
R	8.262892468446	Regulator
r	1	Rank of the group of rational points
S	0.99999999997084	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	62400ha4 31200bv3 12480cu3	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 62400eo4

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

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Quadratic twists for elliptic curve 62400eo4

-4	8	5
62400ha4	31200bv3	12480cu3

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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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