Atkin-Lehner |
2+ 3+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434d |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-148465818416124 = -1 · 22 · 33 · 1110 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 11- 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2745,589529] |
[a1,a2,a3,a4,a6] |
j |
-3267/212 |
j-invariant |
L |
1.9128797509079 |
L(r)(E,1)/r! |
Ω |
0.47822001567718 |
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 |
115434bi1 115434bd1 |
Quadratic twists by: -3 -11 |