Atkin-Lehner |
2+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55738g |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1607040 |
Modular degree for the optimal curve |
Δ |
45906007199224384 = 26 · 292 · 318 |
Discriminant |
Eigenvalues |
2+ 3 -3 -1 1 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-649816,-201193984] |
[a1,a2,a3,a4,a6] |
j |
35579655513/53824 |
j-invariant |
L |
2.6906757403696 |
L(r)(E,1)/r! |
Ω |
0.16816723377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55738e1 |
Quadratic twists by: -31 |