Atkin-Lehner |
7- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50813b |
Isogeny class |
Conductor |
50813 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-246810072299 = -1 · 77 · 173 · 61 |
Discriminant |
Eigenvalues |
1 1 3 7- 1 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-194507,33001693] |
[a1,a2,a3,a4,a6] |
j |
-6917321625184153/2097851 |
j-invariant |
L |
3.1718670422437 |
L(r)(E,1)/r! |
Ω |
0.79296676072969 |
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 |
7259a1 |
Quadratic twists by: -7 |