Atkin-Lehner |
2+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
129344q |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
33112064 = 214 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ -2 -3 0 0 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-337,-2481] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:4:1] [21:12:1] |
Generators of the group modulo torsion |
j |
259108432/2021 |
j-invariant |
L |
7.2293772505293 |
L(r)(E,1)/r! |
Ω |
1.114522900318 |
Real period |
R |
3.2432609716788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344w1 16168a1 |
Quadratic twists by: -4 8 |