Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92480ch |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
357158780979200000 = 214 · 55 · 178 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 1 0 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-314432,-61471456] |
[a1,a2,a3,a4,a6] |
Generators |
[-25628:30605:64] |
Generators of the group modulo torsion |
j |
30081024/3125 |
j-invariant |
L |
7.6171285266194 |
L(r)(E,1)/r! |
Ω |
0.20296580810234 |
Real period |
R |
7.5058243454216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480eh1 5780b1 92480b1 |
Quadratic twists by: -4 8 17 |