Atkin-Lehner |
2- 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
88298x |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
755712 |
Modular degree for the optimal curve |
Δ |
54897033786112 = 28 · 77 · 173 · 53 |
Discriminant |
Eigenvalues |
2- -3 -4 7- -1 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11157,283245] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:870:1] [-101:660:1] |
Generators of the group modulo torsion |
j |
1305392995089/466617088 |
j-invariant |
L |
7.7112759527875 |
L(r)(E,1)/r! |
Ω |
0.57654226508461 |
Real period |
R |
0.13932333504494 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12614f1 |
Quadratic twists by: -7 |