Atkin-Lehner |
3+ 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
13065j |
Isogeny class |
Conductor |
13065 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
117585 = 33 · 5 · 13 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2450,-47698] |
[a1,a2,a3,a4,a6] |
j |
1626421265632801/117585 |
j-invariant |
L |
0.67858946378949 |
L(r)(E,1)/r! |
Ω |
0.67858946378949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39195k1 65325l1 |
Quadratic twists by: -3 5 |