Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400m |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-2821927731200 = -1 · 227 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 3 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27233,1722623] |
[a1,a2,a3,a4,a6] |
j |
-340836570625/430592 |
j-invariant |
L |
3.21334555371 |
L(r)(E,1)/r! |
Ω |
0.80333638839583 |
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 |
46400ca1 1450b1 46400bg1 |
Quadratic twists by: -4 8 5 |