Atkin-Lehner |
3+ 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
58575a |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
988453125 = 34 · 56 · 11 · 71 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -1 11+ 1 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2608,-50382] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:4:1] |
Generators of the group modulo torsion |
j |
125600960512/63261 |
j-invariant |
L |
1.5286302835401 |
L(r)(E,1)/r! |
Ω |
0.66806990827729 |
Real period |
R |
1.1440646141028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2343f1 |
Quadratic twists by: 5 |