Atkin-Lehner |
2+ 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
69350b |
Isogeny class |
Conductor |
69350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7527168 |
Modular degree for the optimal curve |
Δ |
6908280832000000000 = 227 · 59 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 -3 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-255757025,1574200595125] |
[a1,a2,a3,a4,a6] |
j |
118409460759340743173169169/442129973248000 |
j-invariant |
L |
0.63241549289027 |
L(r)(E,1)/r! |
Ω |
0.1581038691203 |
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 |
13870e1 |
Quadratic twists by: 5 |