Atkin-Lehner |
2- 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640ci |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-3190018277376000 = -1 · 222 · 35 · 53 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1320376,-584422060] |
[a1,a2,a3,a4,a6] |
j |
-62152264723374149689/778813056000 |
j-invariant |
L |
2.1125932207155 |
L(r)(E,1)/r! |
Ω |
0.070419802004954 |
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 |
15330a1 |
Quadratic twists by: -4 |