Atkin-Lehner |
2- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600cs |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
499424165888000 = 230 · 53 · 612 |
Discriminant |
Eigenvalues |
2- 2 5- 4 -4 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6990913,7116905697] |
[a1,a2,a3,a4,a6] |
j |
1153122726940210853/15241216 |
j-invariant |
L |
6.6628129759432 |
L(r)(E,1)/r! |
Ω |
0.37015627866942 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600bo2 24400bb2 97600cx2 |
Quadratic twists by: -4 8 5 |