Atkin-Lehner |
2+ 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126y |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2483712 |
Modular degree for the optimal curve |
Δ |
-1323003679508294784 = -1 · 27 · 39 · 710 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- 13- -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36465,55413917] |
[a1,a2,a3,a4,a6] |
j |
-964467/237952 |
j-invariant |
L |
0.88410432475631 |
L(r)(E,1)/r! |
Ω |
0.2210255155017 |
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 |
126126dw1 126126b1 |
Quadratic twists by: -3 -7 |