Atkin-Lehner |
2- 3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410bt |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
47312100 = 22 · 36 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92,91] |
[a1,a2,a3,a4,a6] |
j |
116930169/64900 |
j-invariant |
L |
6.9820522177828 |
L(r)(E,1)/r! |
Ω |
1.745513056011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6490a1 |
Quadratic twists by: -3 |