Cremona's table of elliptic curves

91728 = 2⁴ · 3² · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 13-	Signs for the Atkin-Lehner involutions
Class	91728fw	Isogeny class
Conductor	91728	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	-2.813406205767E+29	Discriminant
Eigenvalues	2- 3- -2 7- -4 13- -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1608616149,5880516354650]	[a1,a2,a3,a4,a6]
Generators	[-1044701:334803456:343]	Generators of the group modulo torsion
j	3820420340137317041/2334869460099072	j-invariant
L	4.4599981951276	L(r)(E,1)/r!
Ω	0.019012948435389	Real period
R	4.8870184069424	Regulator
r	1	Rank of the group of rational points
S	1.0000000009811	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11466co2 30576cf2 91728ej2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 91728fw2

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

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Quadratic twists for elliptic curve 91728fw2

-4	-3	-7
11466co2	30576cf2	91728ej2

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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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