Atkin-Lehner |
3- 5+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129675bj |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
583680 |
Modular degree for the optimal curve |
Δ |
-20833018171875 = -1 · 33 · 56 · 7 · 135 · 19 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15608,776819] |
[a1,a2,a3,a4,a6] |
j |
-26913692127232/1333313163 |
j-invariant |
L |
4.0460931748638 |
L(r)(E,1)/r! |
Ω |
0.67434891487421 |
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 |
5187a1 |
Quadratic twists by: 5 |