Atkin-Lehner |
2- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
48950w |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-23399438476562500 = -1 · 22 · 514 · 112 · 892 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11- 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,35562,6907031] |
[a1,a2,a3,a4,a6] |
j |
318318189281639/1497564062500 |
j-invariant |
L |
8.7189327241735 |
L(r)(E,1)/r! |
Ω |
0.27246664764653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790f2 |
Quadratic twists by: 5 |