Atkin-Lehner |
2- 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62480r |
Isogeny class |
Conductor |
62480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
112603955200 = 219 · 52 · 112 · 71 |
Discriminant |
Eigenvalues |
2- -1 5- -1 11- -1 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22320,-1275968] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:10:1] |
Generators of the group modulo torsion |
j |
300238092661681/27491200 |
j-invariant |
L |
4.3526779408057 |
L(r)(E,1)/r! |
Ω |
0.39059508288939 |
Real period |
R |
1.3929636250155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7810d1 |
Quadratic twists by: -4 |