Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680n |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-142305451796400 = -1 · 24 · 3 · 52 · 179 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3275,579552] |
[a1,a2,a3,a4,a6] |
j |
-2048/75 |
j-invariant |
L |
0.96749835652853 |
L(r)(E,1)/r! |
Ω |
0.4837491782636 |
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 |
69360bs1 104040ck1 34680t1 |
Quadratic twists by: -4 -3 17 |