Atkin-Lehner |
3+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16965c |
Isogeny class |
Conductor |
16965 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5888 |
Modular degree for the optimal curve |
Δ |
-1241278155 = -1 · 33 · 5 · 13 · 294 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 -3 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,48,1690] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:14:1] |
Generators of the group modulo torsion |
j |
452984832/45973265 |
j-invariant |
L |
4.1845334663034 |
L(r)(E,1)/r! |
Ω |
1.1761034044164 |
Real period |
R |
0.44474548863965 |
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 |
16965a1 84825h1 |
Quadratic twists by: -3 5 |