Atkin-Lehner |
2+ 3+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
41208b |
Isogeny class |
Conductor |
41208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
31769049802752 = 211 · 312 · 172 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8440,-121844] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:372:1] [-15:34:1] |
Generators of the group modulo torsion |
j |
32469272302322/15512231349 |
j-invariant |
L |
6.562407383455 |
L(r)(E,1)/r! |
Ω |
0.52217412518102 |
Real period |
R |
12.567469483824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82416d2 123624p2 |
Quadratic twists by: -4 -3 |