Atkin-Lehner |
2+ 3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
14022f |
Isogeny class |
Conductor |
14022 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
1744561152 = 210 · 37 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-342,-1292] |
[a1,a2,a3,a4,a6] |
j |
6078390625/2393088 |
j-invariant |
L |
2.296226301506 |
L(r)(E,1)/r! |
Ω |
1.148113150753 |
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 |
112176q1 4674e1 |
Quadratic twists by: -4 -3 |