Atkin-Lehner |
3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
13275k |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
145162125 = 39 · 53 · 59 |
Discriminant |
Eigenvalues |
2 3+ 5- -4 5 1 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-135,-169] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:131:8] |
Generators of the group modulo torsion |
j |
110592/59 |
j-invariant |
L |
8.6287103021819 |
L(r)(E,1)/r! |
Ω |
1.4887859558358 |
Real period |
R |
1.4489507824074 |
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 |
13275i1 13275l1 |
Quadratic twists by: -3 5 |