Cremona's table of elliptic curves

Curve 99540w2

99540 = 22 · 32 · 5 · 7 · 79



Data for elliptic curve 99540w2

Field Data Notes
Atkin-Lehner 2- 3- 5- 7- 79+ Signs for the Atkin-Lehner involutions
Class 99540w Isogeny class
Conductor 99540 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 199117427040000 = 28 · 38 · 54 · 74 · 79 Discriminant
Eigenvalues 2- 3- 5- 7-  6 -6  0  0 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-9104367,-10573596826] [a1,a2,a3,a4,a6]
Generators [62114:4975425:8] Generators of the group modulo torsion
j 447203801198868977104/1066944375 j-invariant
L 8.106200069605 L(r)(E,1)/r!
Ω 0.086913475278519 Real period
R 5.8292169532007 Regulator
r 1 Rank of the group of rational points
S 1.0000000015695 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 33180f2 Quadratic twists by: -3


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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