Atkin-Lehner |
7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48139b |
Isogeny class |
Conductor |
48139 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-471590006797 = -1 · 74 · 135 · 232 |
Discriminant |
Eigenvalues |
1 2 0 7+ -1 13+ 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-735,33614] |
[a1,a2,a3,a4,a6] |
j |
-83186523625/891474493 |
j-invariant |
L |
1.5923714901769 |
L(r)(E,1)/r! |
Ω |
0.79618574542805 |
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 |
48139l1 |
Quadratic twists by: -23 |