Atkin-Lehner |
3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13965u |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-9626767294921875 = -1 · 32 · 510 · 78 · 19 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ -1 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-17950,4804531] |
[a1,a2,a3,a4,a6] |
Generators |
[-950:18371:8] |
Generators of the group modulo torsion |
j |
-110957572096/1669921875 |
j-invariant |
L |
11.667258906841 |
L(r)(E,1)/r! |
Ω |
0.34578543491037 |
Real period |
R |
0.56235542472868 |
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 |
41895l1 69825c1 13965d1 |
Quadratic twists by: -3 5 -7 |