Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800m |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
1 |
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] |
j |
-5000 |
j-invariant |
L |
1.1539327752916 |
L(r)(E,1)/r! |
Ω |
1.1539326617978 |
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 |
96800bo1 96800ci1 800f1 |
Quadratic twists by: -4 5 -11 |