Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
80724h |
Isogeny class |
Conductor |
80724 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-781475482368 = -1 · 28 · 33 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9093,339489] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-294:1] [-25:742:1] |
Generators of the group modulo torsion |
j |
-338010112000/3176523 |
j-invariant |
L |
9.6699965133228 |
L(r)(E,1)/r! |
Ω |
0.90069721054041 |
Real period |
R |
0.59645130708994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80724q1 |
Quadratic twists by: -31 |