Atkin-Lehner |
2- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48412c |
Isogeny class |
Conductor |
48412 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
79632 |
Modular degree for the optimal curve |
Δ |
-296172416176 = -1 · 24 · 78 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 2 1 7+ -3 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26525,-1654162] |
[a1,a2,a3,a4,a6] |
j |
-22377005056/3211 |
j-invariant |
L |
3.3668449190751 |
L(r)(E,1)/r! |
Ω |
0.18704693995811 |
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 |
48412h1 |
Quadratic twists by: -7 |