Atkin-Lehner |
3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905bd |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
112722080625 = 39 · 54 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46463,3866406] |
[a1,a2,a3,a4,a6] |
Generators |
[126:-39:1] |
Generators of the group modulo torsion |
j |
15216303567263401/154625625 |
j-invariant |
L |
3.7825698079058 |
L(r)(E,1)/r! |
Ω |
0.95251253032283 |
Real period |
R |
1.9855748283069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635l1 |
Quadratic twists by: -3 |