Atkin-Lehner |
2+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
4880a |
Isogeny class |
Conductor |
4880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
24400 = 24 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 0 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22,39] |
[a1,a2,a3,a4,a6] |
j |
73598976/1525 |
j-invariant |
L |
1.8914602232072 |
L(r)(E,1)/r! |
Ω |
3.7829204464144 |
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 |
2440a1 19520r1 43920g1 24400a1 |
Quadratic twists by: -4 8 -3 5 |