Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110cm |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-2069197797332090880 = -1 · 232 · 32 · 5 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1066241,-429474039] |
[a1,a2,a3,a4,a6] |
j |
-1139466686381936641/17587891077120 |
j-invariant |
L |
4.7499315818327 |
L(r)(E,1)/r! |
Ω |
0.074217680966137 |
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 |
57330ck1 95550bn1 2730v1 |
Quadratic twists by: -3 5 -7 |