Atkin-Lehner |
3+ 5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
51675l |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
-1053822125191875 = -1 · 3 · 54 · 139 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 -4 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25400,-98225] |
[a1,a2,a3,a4,a6] |
j |
2899466720841575/1686115400307 |
j-invariant |
L |
0.87279435027001 |
L(r)(E,1)/r! |
Ω |
0.29093144968407 |
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 |
51675v1 |
Quadratic twists by: 5 |