Atkin-Lehner |
2+ 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590t |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
7134358500 = 22 · 36 · 53 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1005,11825] |
[a1,a2,a3,a4,a6] |
j |
154076860881/9786500 |
j-invariant |
L |
2.6053084696071 |
L(r)(E,1)/r! |
Ω |
1.3026542298305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8510g1 |
Quadratic twists by: -3 |