Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218cc |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-1458238323140352 = -1 · 28 · 319 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 1 5 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28165,248811] |
[a1,a2,a3,a4,a6] |
j |
20056410125375/11836253952 |
j-invariant |
L |
4.6579587525918 |
L(r)(E,1)/r! |
Ω |
0.29112242008915 |
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 |
29406a1 88218x1 |
Quadratic twists by: -3 13 |