Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113715q |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
14547488878125 = 36 · 55 · 72 · 194 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -3 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-55233,-4992901] |
[a1,a2,a3,a4,a6] |
Generators |
[-1102:319:8] |
Generators of the group modulo torsion |
j |
196145197056/153125 |
j-invariant |
L |
12.353150152456 |
L(r)(E,1)/r! |
Ω |
0.31143702995278 |
Real period |
R |
3.3054167542939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12635e1 113715bb1 |
Quadratic twists by: -3 -19 |