Atkin-Lehner |
2+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450b |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
17225000000 = 26 · 58 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-692,3216] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:79:1] [-16:108:1] |
Generators of the group modulo torsion |
j |
2347334289/1102400 |
j-invariant |
L |
6.6202451757242 |
L(r)(E,1)/r! |
Ω |
1.1002524316686 |
Real period |
R |
3.0085119492465 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890k1 |
Quadratic twists by: 5 |