Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80724b |
Isogeny class |
Conductor |
80724 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
1.1326320916178E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21827513,39255277626] |
[a1,a2,a3,a4,a6] |
Generators |
[365945:2611037:125] |
Generators of the group modulo torsion |
j |
80992788772864000/7976249253 |
j-invariant |
L |
5.8397858902364 |
L(r)(E,1)/r! |
Ω |
0.17934743949961 |
Real period |
R |
5.4268834313512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2604c1 |
Quadratic twists by: -31 |