Atkin-Lehner |
3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775i |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
70737626953125 = 33 · 510 · 11 · 293 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 0 11- 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2600625,-1614227344] |
[a1,a2,a3,a4,a6] |
j |
7377226268774400/268279 |
j-invariant |
L |
0.95108670687084 |
L(r)(E,1)/r! |
Ω |
0.11888583771686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71775e1 71775s1 |
Quadratic twists by: -3 5 |