Atkin-Lehner |
2- 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312bs |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-61505273856 = -1 · 225 · 3 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 -2 13+ 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2785,58753] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:256:1] |
Generators of the group modulo torsion |
j |
-9116230969/234624 |
j-invariant |
L |
5.1167412113646 |
L(r)(E,1)/r! |
Ω |
1.1055788708033 |
Real period |
R |
1.1570276184965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000116446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312r1 29328v1 |
Quadratic twists by: -4 8 |