Atkin-Lehner |
2+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78416f |
Isogeny class |
Conductor |
78416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
29562832 = 24 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 0 0 2 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130,507] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] [39:234:1] |
Generators of the group modulo torsion |
j |
6912000/841 |
j-invariant |
L |
10.942982011899 |
L(r)(E,1)/r! |
Ω |
2.0222583325786 |
Real period |
R |
5.4112681033591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39208h1 78416g1 |
Quadratic twists by: -4 13 |