Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28322bh |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
1125987897205758748 = 22 · 79 · 178 |
Discriminant |
Eigenvalues |
2- -1 2 7- -2 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-807472,-274910091] |
[a1,a2,a3,a4,a6] |
j |
206839/4 |
j-invariant |
L |
1.9134148339648 |
L(r)(E,1)/r! |
Ω |
0.15945123616369 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28322bg1 28322u1 |
Quadratic twists by: -7 17 |