Atkin-Lehner |
2- 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456bi |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
12550440802450176 = 28 · 310 · 29 · 315 |
Discriminant |
Eigenvalues |
2- 3- 3 4 -4 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61671,-2386798] |
[a1,a2,a3,a4,a6] |
Generators |
[-21981629450:309248896149:166375000] |
Generators of the group modulo torsion |
j |
138995003979088/67249875699 |
j-invariant |
L |
10.891071138255 |
L(r)(E,1)/r! |
Ω |
0.317992753235 |
Real period |
R |
17.124715853298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32364k1 43152ba1 |
Quadratic twists by: -4 -3 |