Atkin-Lehner |
2- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21424u |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
368061517398016 = 238 · 13 · 103 |
Discriminant |
Eigenvalues |
2- -1 -1 0 6 13- -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98976,11982592] |
[a1,a2,a3,a4,a6] |
j |
26179288974173089/89858768896 |
j-invariant |
L |
1.0780182006413 |
L(r)(E,1)/r! |
Ω |
0.53900910032063 |
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 |
2678m1 85696bv1 |
Quadratic twists by: -4 8 |