Atkin-Lehner |
2+ 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456l |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1039360 |
Modular degree for the optimal curve |
Δ |
-502816674231184752 = -1 · 24 · 313 · 295 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 3 -1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-206859,-49752187] |
[a1,a2,a3,a4,a6] |
Generators |
[259412948186260:10279645291633671:151845970375] |
Generators of the group modulo torsion |
j |
-83926567976749312/43108425431343 |
j-invariant |
L |
9.5922489189476 |
L(r)(E,1)/r! |
Ω |
0.10928293481393 |
Real period |
R |
21.943611176072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64728m1 43152f1 |
Quadratic twists by: -4 -3 |