Atkin-Lehner |
2- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
100048n |
Isogeny class |
Conductor |
100048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
731512557568 = 212 · 136 · 37 |
Discriminant |
Eigenvalues |
2- 3 2 -1 -5 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2704,-35152] |
[a1,a2,a3,a4,a6] |
Generators |
[-11758968:51132133:373248] |
Generators of the group modulo torsion |
j |
110592/37 |
j-invariant |
L |
13.494764027992 |
L(r)(E,1)/r! |
Ω |
0.67989308560626 |
Real period |
R |
9.9241809255382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6253c1 592c1 |
Quadratic twists by: -4 13 |