Atkin-Lehner |
2- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21424v |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
175505408 = 217 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 2 2 3 3 13- 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1632,-24832] |
[a1,a2,a3,a4,a6] |
j |
117433042273/42848 |
j-invariant |
L |
6.0089257723335 |
L(r)(E,1)/r! |
Ω |
0.75111572154169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678n1 85696by1 |
Quadratic twists by: -4 8 |