Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744bg |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
8071114752 = 212 · 37 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- -4 3 4 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,-790] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:54:1] |
Generators of the group modulo torsion |
j |
4826809/2703 |
j-invariant |
L |
6.7187989823568 |
L(r)(E,1)/r! |
Ω |
1.0811524007204 |
Real period |
R |
1.5536197310412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000259376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8109d1 43248w1 |
Quadratic twists by: -4 -3 |