Atkin-Lehner |
2+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
34814a |
Isogeny class |
Conductor |
34814 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
1476740164686488 = 23 · 1311 · 103 |
Discriminant |
Eigenvalues |
2+ 0 2 1 -5 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40676,2569880] |
[a1,a2,a3,a4,a6] |
Generators |
[1063:33522:1] |
Generators of the group modulo torsion |
j |
1541999809377/305945432 |
j-invariant |
L |
4.0291061691258 |
L(r)(E,1)/r! |
Ω |
0.4531847344172 |
Real period |
R |
4.4453242388089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678l1 |
Quadratic twists by: 13 |