Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
76296v |
Isogeny class |
Conductor |
76296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
530380789754112 = 28 · 33 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8268964,9149428640] |
[a1,a2,a3,a4,a6] |
j |
10119139303540048/85833 |
j-invariant |
L |
4.3347083924491 |
L(r)(E,1)/r! |
Ω |
0.36122569841742 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4488f1 |
Quadratic twists by: 17 |