Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800bt |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
83200000000 = 214 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1333,-13037] |
[a1,a2,a3,a4,a6] |
Generators |
[-21318:88897:1331] |
Generators of the group modulo torsion |
j |
40960/13 |
j-invariant |
L |
6.7281136551894 |
L(r)(E,1)/r! |
Ω |
0.80984581759048 |
Real period |
R |
8.3078945510979 |
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 |
20800ed1 1300e1 20800i1 |
Quadratic twists by: -4 8 5 |