Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41800x |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
54601250000 = 24 · 57 · 112 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4883,129238] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:475:1] [19:209:1] |
Generators of the group modulo torsion |
j |
51514894336/218405 |
j-invariant |
L |
5.6813098968685 |
L(r)(E,1)/r! |
Ω |
1.1244656482072 |
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 |
83600c1 8360i1 |
Quadratic twists by: -4 5 |