Atkin-Lehner |
2- 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
48804p |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-9921729823488 = -1 · 28 · 34 · 78 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18293,958215] |
[a1,a2,a3,a4,a6] |
j |
-458752000/6723 |
j-invariant |
L |
2.9091965013073 |
L(r)(E,1)/r! |
Ω |
0.72729912540186 |
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 |
48804d1 |
Quadratic twists by: -7 |