Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400bb |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-11586764800 = -1 · 221 · 52 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -3 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-328,-5772] |
[a1,a2,a3,a4,a6] |
Generators |
[94:896:1] |
Generators of the group modulo torsion |
j |
-38226865/113152 |
j-invariant |
L |
3.5851595930681 |
L(r)(E,1)/r! |
Ω |
0.51866445555711 |
Real period |
R |
1.728072723365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11050c1 88400cd1 |
Quadratic twists by: -4 5 |