Atkin-Lehner |
2- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
4880h |
Isogeny class |
Conductor |
4880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
19988480 = 216 · 5 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- 0 6 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80,148] |
[a1,a2,a3,a4,a6] |
j |
13997521/4880 |
j-invariant |
L |
1.9870348568441 |
L(r)(E,1)/r! |
Ω |
1.9870348568441 |
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 |
610c1 19520p1 43920bt1 24400w1 |
Quadratic twists by: -4 8 -3 5 |