Atkin-Lehner |
2- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
92512l |
Isogeny class |
Conductor |
92512 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-1546408574144 = -1 · 26 · 76 · 593 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 0 0 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25333,1553104] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:1534:1] [85:118:1] |
Generators of the group modulo torsion |
j |
-238789577664/205379 |
j-invariant |
L |
6.4292180474984 |
L(r)(E,1)/r! |
Ω |
0.84115281362216 |
Real period |
R |
1.2738902180953 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92512i1 1888b1 |
Quadratic twists by: -4 -7 |