Atkin-Lehner |
7+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50813a |
Isogeny class |
Conductor |
50813 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29808 |
Modular degree for the optimal curve |
Δ |
719562893 = 74 · 173 · 61 |
Discriminant |
Eigenvalues |
1 2 0 7+ -5 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1250,16451] |
[a1,a2,a3,a4,a6] |
j |
90075015625/299693 |
j-invariant |
L |
1.6116858848992 |
L(r)(E,1)/r! |
Ω |
1.6116858845189 |
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 |
50813f1 |
Quadratic twists by: -7 |