Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968dg |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-967789149652942848 = -1 · 215 · 39 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-395307,106732890] |
[a1,a2,a3,a4,a6] |
j |
-395307/56 |
j-invariant |
L |
1.0774816978795 |
L(r)(E,1)/r! |
Ω |
0.26937042799285 |
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 |
15246ba1 121968df1 121968cv1 |
Quadratic twists by: -4 -3 -11 |