Atkin-Lehner |
3+ 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905c |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5419008 |
Modular degree for the optimal curve |
Δ |
6.5266525002502E+21 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11+ 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31262303,-67158816794] |
[a1,a2,a3,a4,a6] |
j |
171670357171985023353483/331588299560546875 |
j-invariant |
L |
1.0216795286216 |
L(r)(E,1)/r! |
Ω |
0.06385497024453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905p1 |
Quadratic twists by: -3 |