Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728u |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
96589584 = 24 · 36 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 5 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,497] |
[a1,a2,a3,a4,a6] |
Generators |
[32:169:1] |
Generators of the group modulo torsion |
j |
614656/169 |
j-invariant |
L |
8.0419285224048 |
L(r)(E,1)/r! |
Ω |
1.7695363434758 |
Real period |
R |
2.2723264620872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45864i1 10192e1 91728s1 |
Quadratic twists by: -4 -3 -7 |