Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560da |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-29101709160000 = -1 · 26 · 312 · 54 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5973,-189196] |
[a1,a2,a3,a4,a6] |
j |
505119057344/623750625 |
j-invariant |
L |
1.4209826223487 |
L(r)(E,1)/r! |
Ω |
0.35524566132386 |
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 |
106560db1 53280be2 35520f1 |
Quadratic twists by: -4 8 -3 |