Atkin-Lehner |
2- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
40400s |
Isogeny class |
Conductor |
40400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
404000000 = 28 · 56 · 101 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200,-500] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:22:1] |
Generators of the group modulo torsion |
j |
221184/101 |
j-invariant |
L |
5.2701144909777 |
L(r)(E,1)/r! |
Ω |
1.3256949423622 |
Real period |
R |
1.9876799415047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10100d1 1616e1 |
Quadratic twists by: -4 5 |