Atkin-Lehner |
2+ 3- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123192c |
Isogeny class |
Conductor |
123192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
7250655368448 = 28 · 39 · 293 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 6 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5268,-69820] |
[a1,a2,a3,a4,a6] |
j |
86635027456/38851677 |
j-invariant |
L |
4.6748838627018 |
L(r)(E,1)/r! |
Ω |
0.5843603466768 |
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 |
41064g1 |
Quadratic twists by: -3 |