Atkin-Lehner |
2- 3- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192bv |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
120244176 = 24 · 36 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144,-405] |
[a1,a2,a3,a4,a6] |
j |
28311552/10309 |
j-invariant |
L |
2.8402923711654 |
L(r)(E,1)/r! |
Ω |
1.4201459357059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28548f1 12688f1 |
Quadratic twists by: -4 -3 |