Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800bo |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57120 |
Modular degree for the optimal curve |
Δ |
-22675980800 = -1 · 29 · 52 · 116 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11- 0 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,-14632] |
[a1,a2,a3,a4,a6] |
Generators |
[2802734:42199886:12167] |
Generators of the group modulo torsion |
j |
-5000 |
j-invariant |
L |
9.3017903947454 |
L(r)(E,1)/r! |
Ω |
0.4190964501098 |
Real period |
R |
11.097434005403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800m1 96800bd1 800b1 |
Quadratic twists by: -4 5 -11 |