Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176u |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-7204209162190848 = -1 · 227 · 312 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -4 -5 -2 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69132,-8100880] |
[a1,a2,a3,a4,a6] |
Generators |
[328:2124:1] [382:4608:1] |
Generators of the group modulo torsion |
j |
-191202526081/37698048 |
j-invariant |
L |
6.4945251779155 |
L(r)(E,1)/r! |
Ω |
0.14566480700689 |
Real period |
R |
5.5731762799806 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176cc1 1818g1 19392k1 |
Quadratic twists by: -4 8 -3 |