Atkin-Lehner |
2- 5- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
126160l |
Isogeny class |
Conductor |
126160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-299630000 = -1 · 24 · 54 · 192 · 83 |
Discriminant |
Eigenvalues |
2- 1 5- 1 3 4 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95,-722] |
[a1,a2,a3,a4,a6] |
Generators |
[6:10:1] |
Generators of the group modulo torsion |
j |
5864013824/18726875 |
j-invariant |
L |
10.326912838615 |
L(r)(E,1)/r! |
Ω |
0.88240882563462 |
Real period |
R |
1.4628866565312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31540b1 |
Quadratic twists by: -4 |