Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26520bb |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
71237566530000 = 24 · 38 · 54 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10511,-88086] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:102:1] |
Generators of the group modulo torsion |
j |
8027441608013824/4452347908125 |
j-invariant |
L |
7.3710657049759 |
L(r)(E,1)/r! |
Ω |
0.50529966006997 |
Real period |
R |
1.8234392102983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53040i1 79560z1 |
Quadratic twists by: -4 -3 |