Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9680h |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
141724880 = 24 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-242,1331] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:363:8] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
3.8992754983636 |
L(r)(E,1)/r! |
Ω |
1.7902688030784 |
Real period |
R |
2.1780391255541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4840g1 38720bu1 87120bk1 48400k1 |
Quadratic twists by: -4 8 -3 5 |