Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80724a |
Isogeny class |
Conductor |
80724 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
64709668389072 = 24 · 3 · 72 · 317 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32033,2183214] |
[a1,a2,a3,a4,a6] |
Generators |
[24170:222952:125] |
Generators of the group modulo torsion |
j |
256000000/4557 |
j-invariant |
L |
5.1149096082971 |
L(r)(E,1)/r! |
Ω |
0.62104797649892 |
Real period |
R |
4.1179665668796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2604b1 |
Quadratic twists by: -31 |