Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400cm |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
493177248000 = 28 · 312 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-317055,68714750] |
[a1,a2,a3,a4,a6] |
j |
151094976293648/21141 |
j-invariant |
L |
2.9062283740022 |
L(r)(E,1)/r! |
Ω |
0.7265571315773 |
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 |
52200cn1 34800p1 104400co1 |
Quadratic twists by: -4 -3 5 |