Atkin-Lehner |
2+ 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
116064j |
Isogeny class |
Conductor |
116064 |
Conductor |
∏ cp |
2 |
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 |
2.7495900337406 |
L(r)(E,1)/r! |
Ω |
1.3747949823185 |
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 |
116064p1 12896g1 |
Quadratic twists by: -4 -3 |