Atkin-Lehner |
2+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450f |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
1076562500 = 22 · 58 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-276,-802] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:31:1] [-12:34:1] |
Generators of the group modulo torsion |
j |
148035889/68900 |
j-invariant |
L |
4.5564875067729 |
L(r)(E,1)/r! |
Ω |
1.2255955889182 |
Real period |
R |
1.8588870374423 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890n1 |
Quadratic twists by: 5 |