Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
88088bg |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-176176 = -1 · 24 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 11- 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7,24] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] |
Generators of the group modulo torsion |
j |
-22528/91 |
j-invariant |
L |
7.6831677254103 |
L(r)(E,1)/r! |
Ω |
2.7993175231148 |
Real period |
R |
1.3723287316547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999914365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88088c1 |
Quadratic twists by: -11 |