Atkin-Lehner |
2- 3+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434bi |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
-108231581625354396 = -1 · 22 · 39 · 1110 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 11- 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24707,-15892577] |
[a1,a2,a3,a4,a6] |
j |
-3267/212 |
j-invariant |
L |
2.3537013169182 |
L(r)(E,1)/r! |
Ω |
0.14710637722503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115434d1 115434h1 |
Quadratic twists by: -3 -11 |