Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bw |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-316478737612800 = -1 · 218 · 34 · 52 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34741,2620763] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:1404:1] [-89:2284:1] |
Generators of the group modulo torsion |
j |
-381125433207527/26011238400 |
j-invariant |
L |
14.373516321082 |
L(r)(E,1)/r! |
Ω |
0.53447523798001 |
Real period |
R |
0.37351060810964 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111090cd1 |
Quadratic twists by: -23 |