Atkin-Lehner |
5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
34645n |
Isogeny class |
Conductor |
34645 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
53664 |
Modular degree for the optimal curve |
Δ |
167224797805 = 5 · 138 · 41 |
Discriminant |
Eigenvalues |
0 1 5- 4 4 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-20505,-1136846] |
[a1,a2,a3,a4,a6] |
Generators |
[-766122:109360:9261] |
Generators of the group modulo torsion |
j |
1168900096/205 |
j-invariant |
L |
6.7975665066401 |
L(r)(E,1)/r! |
Ω |
0.39896740572178 |
Real period |
R |
5.6792997866937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34645a1 |
Quadratic twists by: 13 |