Atkin-Lehner |
2- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
97900a |
Isogeny class |
Conductor |
97900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
5931102469531250000 = 24 · 511 · 112 · 894 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11+ 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-752133,-222299012] |
[a1,a2,a3,a4,a6] |
j |
188221058943287296/23724409878125 |
j-invariant |
L |
1.9615090991675 |
L(r)(E,1)/r! |
Ω |
0.16345909639357 |
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 |
19580a1 |
Quadratic twists by: 5 |