Atkin-Lehner |
3- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
5247b |
Isogeny class |
Conductor |
5247 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-7656125823819 = -1 · 36 · 113 · 534 |
Discriminant |
Eigenvalues |
-2 3- 3 2 11+ 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4419,70274] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:185:1] |
Generators of the group modulo torsion |
j |
13090860306432/10502230211 |
j-invariant |
L |
2.5195583302621 |
L(r)(E,1)/r! |
Ω |
0.47762960811442 |
Real period |
R |
1.318782529107 |
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 |
83952s1 583c1 57717ba1 |
Quadratic twists by: -4 -3 -11 |