Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41800t |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1738618750000 = -1 · 24 · 58 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2950,-14875] |
[a1,a2,a3,a4,a6] |
Generators |
[10:125:1] |
Generators of the group modulo torsion |
j |
11356637184/6954475 |
j-invariant |
L |
5.0350305900471 |
L(r)(E,1)/r! |
Ω |
0.48549254590294 |
Real period |
R |
1.2963717549668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600h1 8360h1 |
Quadratic twists by: -4 5 |