Atkin-Lehner |
3- 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
51675s |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
56640 |
Modular degree for the optimal curve |
Δ |
-407740605675 = -1 · 3 · 52 · 13 · 535 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 4 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-746,31643] |
[a1,a2,a3,a4,a6] |
j |
-1833002494465/16309624227 |
j-invariant |
L |
4.0461487125815 |
L(r)(E,1)/r! |
Ω |
0.80922974243433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51675m1 |
Quadratic twists by: 5 |