Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
41800r |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
836000000 = 28 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1775,-28750] |
[a1,a2,a3,a4,a6] |
Generators |
[55:200:1] |
Generators of the group modulo torsion |
j |
154617552/209 |
j-invariant |
L |
6.0932663624614 |
L(r)(E,1)/r! |
Ω |
0.73558898656324 |
Real period |
R |
2.070880095326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600o1 1672c1 |
Quadratic twists by: -4 5 |