Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192k |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
1756557923904 = 26 · 32 · 78 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7954,-262856] |
[a1,a2,a3,a4,a6] |
Generators |
[678:17480:1] |
Generators of the group modulo torsion |
j |
7392083392/233289 |
j-invariant |
L |
4.738116960603 |
L(r)(E,1)/r! |
Ω |
0.50650986689164 |
Real period |
R |
4.6772207961162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891849 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108192bt1 15456d1 |
Quadratic twists by: -4 -7 |