Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6200d |
Isogeny class |
Conductor |
6200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-7750000000000 = -1 · 210 · 512 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8075,309750] |
[a1,a2,a3,a4,a6] |
j |
-3639412836/484375 |
j-invariant |
L |
1.4347338266911 |
L(r)(E,1)/r! |
Ω |
0.71736691334554 |
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 |
12400a1 49600q1 55800by1 1240e1 |
Quadratic twists by: -4 8 -3 5 |