Atkin-Lehner |
2- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
48880n |
Isogeny class |
Conductor |
48880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
2544460365824000 = 222 · 53 · 133 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99563,-11845862] |
[a1,a2,a3,a4,a6] |
j |
26647574595656769/621206144000 |
j-invariant |
L |
1.6148899576853 |
L(r)(E,1)/r! |
Ω |
0.26914832632661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6110b1 |
Quadratic twists by: -4 |