Atkin-Lehner |
2- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49610u |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-228887363584000 = -1 · 225 · 53 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11+ -5 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12473,489151] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:334:1] [-19:504:1] |
Generators of the group modulo torsion |
j |
161246785595589/171966464000 |
j-invariant |
L |
13.201119149319 |
L(r)(E,1)/r! |
Ω |
0.36995182425539 |
Real period |
R |
0.23788897695689 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49610e1 |
Quadratic twists by: -11 |