Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680t |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-5895600 = -1 · 24 · 3 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11,114] |
[a1,a2,a3,a4,a6] |
j |
-2048/75 |
j-invariant |
L |
3.9890979165689 |
L(r)(E,1)/r! |
Ω |
1.9945489582866 |
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 |
69360i1 104040cv1 34680n1 |
Quadratic twists by: -4 -3 17 |