Atkin-Lehner |
2+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
9760d |
Isogeny class |
Conductor |
9760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
29768000 = 26 · 53 · 612 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-146,580] |
[a1,a2,a3,a4,a6] |
j |
5414689216/465125 |
j-invariant |
L |
2.0416700497557 |
L(r)(E,1)/r! |
Ω |
2.0416700497557 |
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 |
9760c1 19520v2 87840by1 48800m1 |
Quadratic twists by: -4 8 -3 5 |