Atkin-Lehner |
7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48139o |
Isogeny class |
Conductor |
48139 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-2168873809739 = -1 · 72 · 13 · 237 |
Discriminant |
Eigenvalues |
0 -1 -1 7- -5 13- 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2821,-90425] |
[a1,a2,a3,a4,a6] |
j |
-16777216/14651 |
j-invariant |
L |
1.2639431272557 |
L(r)(E,1)/r! |
Ω |
0.31598578188425 |
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 |
2093c1 |
Quadratic twists by: -23 |