Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93024p |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
45209664 = 26 · 37 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -4 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2901,-60140] |
[a1,a2,a3,a4,a6] |
Generators |
[11012:136287:64] |
Generators of the group modulo torsion |
j |
57870788032/969 |
j-invariant |
L |
4.5458365108653 |
L(r)(E,1)/r! |
Ω |
0.65052360310785 |
Real period |
R |
6.9879655401468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999764521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93024bk1 31008t1 |
Quadratic twists by: -4 -3 |