Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728i |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
2147733245955024 = 24 · 39 · 79 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25563006,49746896955] |
[a1,a2,a3,a4,a6] |
Generators |
[-42798:1461915:8] |
Generators of the group modulo torsion |
j |
49860882714802176/57967 |
j-invariant |
L |
6.505866626787 |
L(r)(E,1)/r! |
Ω |
0.29365642217361 |
Real period |
R |
5.5386721871778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864bb1 91728g1 13104c1 |
Quadratic twists by: -4 -3 -7 |