Atkin-Lehner |
2- 3+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672w |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
-27602795899171584 = -1 · 28 · 35 · 72 · 135 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 4 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-349181,79936689] |
[a1,a2,a3,a4,a6] |
j |
-18392332252543442944/107823421481139 |
j-invariant |
L |
1.5062550050066 |
L(r)(E,1)/r! |
Ω |
0.3765636981347 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31668d1 |
Quadratic twists by: -4 |