Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bu |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
9070392320 = 210 · 5 · 116 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-968,10648] |
[a1,a2,a3,a4,a6] |
Generators |
[33:121:1] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
2.9081502804725 |
L(r)(E,1)/r! |
Ω |
1.2659112108034 |
Real period |
R |
1.1486391208372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720f1 9680h1 320a1 |
Quadratic twists by: -4 8 -11 |