Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41800x |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-27817900000000 = -1 · 28 · 58 · 114 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2508,257488] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:374:1] [-52:500:1] |
Generators of the group modulo torsion |
j |
-436334416/6954475 |
j-invariant |
L |
5.6813098968685 |
L(r)(E,1)/r! |
Ω |
0.5622328241036 |
Real period |
R |
0.63155663157932 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600c2 8360i2 |
Quadratic twists by: -4 5 |