Atkin-Lehner |
3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13005p |
Isogeny class |
Conductor |
13005 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
2059557505668045 = 310 · 5 · 178 |
Discriminant |
Eigenvalues |
0 3- 5- 2 -5 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-117912,-15430505] |
[a1,a2,a3,a4,a6] |
j |
35651584/405 |
j-invariant |
L |
1.5468901325861 |
L(r)(E,1)/r! |
Ω |
0.25781502209769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4335a1 65025by1 13005h1 |
Quadratic twists by: -3 5 17 |