Atkin-Lehner |
5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50575z |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
341496 |
Modular degree for the optimal curve |
Δ |
-8819973314464375 = -1 · 54 · 7 · 1710 |
Discriminant |
Eigenvalues |
1 -2 5- 7+ -5 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43501,-5714277] |
[a1,a2,a3,a4,a6] |
j |
-7225/7 |
j-invariant |
L |
1.4311744673 |
L(r)(E,1)/r! |
Ω |
0.15901938518039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50575q1 50575bj1 |
Quadratic twists by: 5 17 |