Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41400l |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13494349872000000 = 210 · 313 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10495875,-13088083250] |
[a1,a2,a3,a4,a6] |
Generators |
[-71577352585:-1071168300:38272753] |
Generators of the group modulo torsion |
j |
10963069081334500/1156923 |
j-invariant |
L |
6.8750185844798 |
L(r)(E,1)/r! |
Ω |
0.083877387457453 |
Real period |
R |
10.245637699381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800v2 13800u2 1656d2 |
Quadratic twists by: -4 -3 5 |