Atkin-Lehner |
3- 5- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
49995j |
Isogeny class |
Conductor |
49995 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-31321086328125 = -1 · 38 · 58 · 112 · 101 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,981,268758] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:504:1] |
Generators of the group modulo torsion |
j |
143137741391/42964453125 |
j-invariant |
L |
7.5539155864264 |
L(r)(E,1)/r! |
Ω |
0.51086146678701 |
Real period |
R |
0.92416389735449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16665c2 |
Quadratic twists by: -3 |