Atkin-Lehner |
5- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67925o |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
140160 |
Modular degree for the optimal curve |
Δ |
26839926953125 = 58 · 114 · 13 · 192 |
Discriminant |
Eigenvalues |
0 -1 5- 0 11- 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-20833,1137193] |
[a1,a2,a3,a4,a6] |
Generators |
[986:5221:8] [17:887:1] |
Generators of the group modulo torsion |
j |
2560000000000/68710213 |
j-invariant |
L |
7.3718846468602 |
L(r)(E,1)/r! |
Ω |
0.66550308164636 |
Real period |
R |
0.46154836657675 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67925l1 |
Quadratic twists by: 5 |