Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15792s |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
3.2017715550442E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7962192,-813695040] |
[a1,a2,a3,a4,a6] |
Generators |
[3930:169050:1] |
Generators of the group modulo torsion |
j |
13628929860777294382033/7816825085557211136 |
j-invariant |
L |
4.8522955286943 |
L(r)(E,1)/r! |
Ω |
0.097550145182216 |
Real period |
R |
4.9741551072329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974j1 63168dj1 47376bw1 110544ec1 |
Quadratic twists by: -4 8 -3 -7 |