Atkin-Lehner |
2- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
129344bh |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
2069504 = 210 · 43 · 47 |
Discriminant |
Eigenvalues |
2- -2 -3 -2 0 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5397,-154421] |
[a1,a2,a3,a4,a6] |
Generators |
[-342:-1:8] [331:5868:1] |
Generators of the group modulo torsion |
j |
16980930199552/2021 |
j-invariant |
L |
6.4434833846946 |
L(r)(E,1)/r! |
Ω |
0.55699942605822 |
Real period |
R |
5.7841023479514 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000013273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344g1 32336j1 |
Quadratic twists by: -4 8 |