Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400dx |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-34488115200 = -1 · 213 · 37 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1848,-31248] |
[a1,a2,a3,a4,a6] |
Generators |
[458:9746:1] |
Generators of the group modulo torsion |
j |
-6819690145/336798 |
j-invariant |
L |
3.9831472369772 |
L(r)(E,1)/r! |
Ω |
0.36301622543444 |
Real period |
R |
5.4861834819807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550ba1 92400ij1 |
Quadratic twists by: -4 5 |