Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800v |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-97435855000000000 = -1 · 29 · 510 · 117 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 11- 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25208,15088588] |
[a1,a2,a3,a4,a6] |
j |
-200/11 |
j-invariant |
L |
0.55826208679486 |
L(r)(E,1)/r! |
Ω |
0.27913099865543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800q1 96800cj1 8800r1 |
Quadratic twists by: -4 5 -11 |