Atkin-Lehner |
5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34385c |
Isogeny class |
Conductor |
34385 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
61785546875 = 58 · 13 · 233 |
Discriminant |
Eigenvalues |
1 0 5+ 2 2 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1295,-13050] |
[a1,a2,a3,a4,a6] |
Generators |
[-146754:399563:5832] |
Generators of the group modulo torsion |
j |
19748682927/5078125 |
j-invariant |
L |
6.2697624710102 |
L(r)(E,1)/r! |
Ω |
0.81094137989528 |
Real period |
R |
7.7314620100151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34385k2 |
Quadratic twists by: -23 |