Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10200bh |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-63750000 = -1 · 24 · 3 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-387] |
[a1,a2,a3,a4,a6] |
Generators |
[18:75:1] |
Generators of the group modulo torsion |
j |
-256/255 |
j-invariant |
L |
5.5953148751762 |
L(r)(E,1)/r! |
Ω |
0.88620822231675 |
Real period |
R |
0.78922124821703 |
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 |
20400b1 81600i1 30600w1 2040d1 |
Quadratic twists by: -4 8 -3 5 |