Atkin-Lehner |
2- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59696o |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
45393319788544 = 215 · 7 · 136 · 41 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 6 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17752,-844816] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:208:1] |
Generators of the group modulo torsion |
j |
151053257765593/11082353464 |
j-invariant |
L |
3.9113838533341 |
L(r)(E,1)/r! |
Ω |
0.41552104135963 |
Real period |
R |
0.39221678566152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462g1 |
Quadratic twists by: -4 |