Atkin-Lehner |
2- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840r |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
22893200 = 24 · 52 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- -3 11+ 0 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257,-1569] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:1:1] |
Generators of the group modulo torsion |
j |
117328386816/1430825 |
j-invariant |
L |
4.5246981903905 |
L(r)(E,1)/r! |
Ω |
1.1932639773932 |
Real period |
R |
1.8959334548393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9460e1 |
Quadratic twists by: -4 |