Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46512c |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
4581245952 = 210 · 36 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 -4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,-2950] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:38:1] [-7:16:1] |
Generators of the group modulo torsion |
j |
19307236/6137 |
j-invariant |
L |
6.8903911442499 |
L(r)(E,1)/r! |
Ω |
1.0313519917908 |
Real period |
R |
1.6702326652526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23256e1 5168b1 |
Quadratic twists by: -4 -3 |