Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770cv |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-4612486613377500 = -1 · 22 · 35 · 54 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19861,3438941] |
[a1,a2,a3,a4,a6] |
j |
-179501589721/955597500 |
j-invariant |
L |
7.5287356037122 |
L(r)(E,1)/r! |
Ω |
0.37643678017701 |
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 |
4290m1 |
Quadratic twists by: 13 |