Atkin-Lehner |
5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50575ba |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1248480 |
Modular degree for the optimal curve |
Δ |
-5512483321540234375 = -1 · 58 · 7 · 1710 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ -3 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1087513,-450985608] |
[a1,a2,a3,a4,a6] |
j |
-180625/7 |
j-invariant |
L |
0.073752201897021 |
L(r)(E,1)/r! |
Ω |
0.073752202249474 |
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 |
50575n1 50575bk1 |
Quadratic twists by: 5 17 |