Atkin-Lehner |
3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41895l |
Isogeny class |
Conductor |
41895 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-7017913357998046875 = -1 · 38 · 510 · 78 · 19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 1 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-161553,-129883896] |
[a1,a2,a3,a4,a6] |
j |
-110957572096/1669921875 |
j-invariant |
L |
1.2140913203267 |
L(r)(E,1)/r! |
Ω |
0.10117427668756 |
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 |
13965u1 41895ca1 |
Quadratic twists by: -3 -7 |