Atkin-Lehner |
2+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
129344c |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71808 |
Modular degree for the optimal curve |
Δ |
2069504 = 210 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2696,-53880] |
[a1,a2,a3,a4,a6] |
Generators |
[51090186:-3794529880:9261] |
Generators of the group modulo torsion |
j |
2116330149888/2021 |
j-invariant |
L |
4.6434430702353 |
L(r)(E,1)/r! |
Ω |
0.66255144820542 |
Real period |
R |
14.016852653026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000124828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129344be1 16168c1 |
Quadratic twists by: -4 8 |