Atkin-Lehner |
2- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42224m |
Isogeny class |
Conductor |
42224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
3842384 = 24 · 72 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-469,-3756] |
[a1,a2,a3,a4,a6] |
j |
714575183872/240149 |
j-invariant |
L |
1.0257415872585 |
L(r)(E,1)/r! |
Ω |
1.0257415873715 |
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 |
10556a1 |
Quadratic twists by: -4 |