Atkin-Lehner |
3+ 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13065g |
Isogeny class |
Conductor |
13065 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-363820728375 = -1 · 32 · 53 · 136 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 6 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2022,44631] |
[a1,a2,a3,a4,a6] |
j |
-914961296782441/363820728375 |
j-invariant |
L |
2.6905341198415 |
L(r)(E,1)/r! |
Ω |
0.89684470661385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39195d1 65325u1 |
Quadratic twists by: -3 5 |