Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880bm |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
13094706240 = 26 · 312 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-993,-10712] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:36:1] [36:14:1] |
Generators of the group modulo torsion |
j |
2320940224/280665 |
j-invariant |
L |
11.383252628691 |
L(r)(E,1)/r! |
Ω |
0.85720905849916 |
Real period |
R |
6.6397178832638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880x1 36960bv1 |
Quadratic twists by: -4 -3 |