Atkin-Lehner |
2- 7+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
129584m |
Isogeny class |
Conductor |
129584 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-1530356901871616 = -1 · 218 · 72 · 132 · 893 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 0 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26448,-904256] |
[a1,a2,a3,a4,a6] |
Generators |
[34:182:1] [138:-2314:1] |
Generators of the group modulo torsion |
j |
499488912166607/373622290496 |
j-invariant |
L |
7.3813893638742 |
L(r)(E,1)/r! |
Ω |
0.26671002792378 |
Real period |
R |
1.1531545799253 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16198k1 |
Quadratic twists by: -4 |