Atkin-Lehner |
2+ 3- 7+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038p |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
146432 |
Modular degree for the optimal curve |
Δ |
-343501627392 = -1 · 213 · 38 · 7 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -3 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,279,-28211] |
[a1,a2,a3,a4,a6] |
j |
3288008303/471195648 |
j-invariant |
L |
1.8152682121506 |
L(r)(E,1)/r! |
Ω |
0.45381699986109 |
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 |
38346g1 |
Quadratic twists by: -3 |