Atkin-Lehner |
5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23275r |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8424 |
Modular degree for the optimal curve |
Δ |
-14546875 = -1 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
-2 2 5+ 7- 4 -6 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-58,-232] |
[a1,a2,a3,a4,a6] |
j |
-28672/19 |
j-invariant |
L |
0.83888057065165 |
L(r)(E,1)/r! |
Ω |
0.83888057065155 |
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 |
931c1 23275g1 |
Quadratic twists by: 5 -7 |