Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
34814v |
Isogeny class |
Conductor |
34814 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
206819112032 = 25 · 137 · 103 |
Discriminant |
Eigenvalues |
2- -2 0 1 -3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5280493,4670021745] |
[a1,a2,a3,a4,a6] |
Generators |
[1340:175:1] |
Generators of the group modulo torsion |
j |
3373548958002561625/42848 |
j-invariant |
L |
5.2847296381649 |
L(r)(E,1)/r! |
Ω |
0.5071792207876 |
Real period |
R |
1.0419846518865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678h1 |
Quadratic twists by: 13 |