Atkin-Lehner |
2- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
9760h |
Isogeny class |
Conductor |
9760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
928 |
Modular degree for the optimal curve |
Δ |
-156160 = -1 · 29 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- -4 2 7 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13,-6] |
[a1,a2,a3,a4,a6] |
j |
474552/305 |
j-invariant |
L |
1.8561485849443 |
L(r)(E,1)/r! |
Ω |
1.8561485849443 |
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 |
9760e1 19520c1 87840m1 48800f1 |
Quadratic twists by: -4 8 -3 5 |