Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9680q |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-3872000 = -1 · 28 · 53 · 112 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-436,-3364] |
[a1,a2,a3,a4,a6] |
Generators |
[269:4390:1] |
Generators of the group modulo torsion |
j |
-296587984/125 |
j-invariant |
L |
2.944297058748 |
L(r)(E,1)/r! |
Ω |
0.52228070505348 |
Real period |
R |
5.6373843227591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2420c2 38720de2 87120ft2 48400bs2 |
Quadratic twists by: -4 8 -3 5 |