Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9680p |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-274379367680 = -1 · 28 · 5 · 118 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,444,24796] |
[a1,a2,a3,a4,a6] |
Generators |
[73:664:1] |
Generators of the group modulo torsion |
j |
176/5 |
j-invariant |
L |
3.3554188649804 |
L(r)(E,1)/r! |
Ω |
0.73583342090027 |
Real period |
R |
4.5600250949123 |
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 |
2420d1 38720dd1 87120fo1 48400bv1 |
Quadratic twists by: -4 8 -3 5 |