Atkin-Lehner |
3+ 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13065b |
Isogeny class |
Conductor |
13065 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
165598875 = 32 · 53 · 133 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5+ 3 0 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29603,-1972818] |
[a1,a2,a3,a4,a6] |
Generators |
[-490178:245290:4913] |
Generators of the group modulo torsion |
j |
2869153675683713209/165598875 |
j-invariant |
L |
4.5908852324912 |
L(r)(E,1)/r! |
Ω |
0.36396842945538 |
Real period |
R |
6.3067080287167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39195q1 65325v1 |
Quadratic twists by: -3 5 |