Atkin-Lehner |
2- 3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192x |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-63932903424 = -1 · 212 · 39 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 2 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,432,-11664] |
[a1,a2,a3,a4,a6] |
j |
110592/793 |
j-invariant |
L |
1.0994337277917 |
L(r)(E,1)/r! |
Ω |
0.54971659254419 |
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 |
7137c1 114192v1 |
Quadratic twists by: -4 -3 |