Atkin-Lehner |
2- 5+ 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
94550r |
Isogeny class |
Conductor |
94550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
404352 |
Modular degree for the optimal curve |
Δ |
-13633046312500 = -1 · 22 · 56 · 312 · 613 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -3 7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24788,1502281] |
[a1,a2,a3,a4,a6] |
j |
-107802602036857/872514964 |
j-invariant |
L |
8.5200928279209 |
L(r)(E,1)/r! |
Ω |
0.71000773975508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3782b1 |
Quadratic twists by: 5 |