Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400v |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
476474880 |
Modular degree for the optimal curve |
Δ |
1.9746991346329E+26 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 11+ 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-435229478333,110516249378802037] |
[a1,a2,a3,a4,a6] |
Generators |
[5175413270016602227434582324:567887611463636698432078397:13586310100171372799808] |
Generators of the group modulo torsion |
j |
227938994878440140025621798400/4936747836582133 |
j-invariant |
L |
3.9531810298637 |
L(r)(E,1)/r! |
Ω |
0.029433754064831 |
Real period |
R |
33.576935354189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114400f1 114400n1 |
Quadratic twists by: -4 5 |