Atkin-Lehner |
2- 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
116064p |
Isogeny class |
Conductor |
116064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
-4662987264 = -1 · 29 · 36 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- 3 1 6 13- 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2811,-57458] |
[a1,a2,a3,a4,a6] |
j |
-6581255624/12493 |
j-invariant |
L |
5.2447515212145 |
L(r)(E,1)/r! |
Ω |
0.3277969757445 |
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 |
116064j1 12896a1 |
Quadratic twists by: -4 -3 |