Atkin-Lehner |
5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92575f |
Isogeny class |
Conductor |
92575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
1630187890625 = 58 · 73 · 233 |
Discriminant |
Eigenvalues |
1 2 5+ 7+ -2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3150,-30625] |
[a1,a2,a3,a4,a6] |
j |
18191447/8575 |
j-invariant |
L |
1.3344514853316 |
L(r)(E,1)/r! |
Ω |
0.66722586491071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18515h1 92575s1 |
Quadratic twists by: 5 -23 |