Atkin-Lehner |
5+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76475i |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1710720 |
Modular degree for the optimal curve |
Δ |
12153759501953125 = 510 · 73 · 193 · 232 |
Discriminant |
Eigenvalues |
1 -3 5+ 7- 5 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-437617,-111191084] |
[a1,a2,a3,a4,a6] |
j |
949088652138225/1244544973 |
j-invariant |
L |
1.1138108232232 |
L(r)(E,1)/r! |
Ω |
0.18563512720781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76475r1 |
Quadratic twists by: 5 |