Atkin-Lehner |
2- 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13570f |
Isogeny class |
Conductor |
13570 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-1598003200 = -1 · 211 · 52 · 232 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- -5 -3 -3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,125,1857] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:33:1] [2:45:1] |
Generators of the group modulo torsion |
j |
215892017999/1598003200 |
j-invariant |
L |
6.5901998839952 |
L(r)(E,1)/r! |
Ω |
1.0939956955337 |
Real period |
R |
0.13690846381053 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108560q1 122130l1 67850c1 |
Quadratic twists by: -4 -3 5 |