Atkin-Lehner |
2- 3+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650cl |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
91200 |
Modular degree for the optimal curve |
Δ |
-493024218750 = -1 · 2 · 35 · 58 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 -2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,612,33531] |
[a1,a2,a3,a4,a6] |
j |
64889375/1262142 |
j-invariant |
L |
4.1729785595421 |
L(r)(E,1)/r! |
Ω |
0.69549642700427 |
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 |
55650x1 |
Quadratic twists by: 5 |