Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322f |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
3808062832 = 24 · 77 · 172 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- -2 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-711,-6971] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:29:1] [-15:32:1] |
Generators of the group modulo torsion |
j |
1171657/112 |
j-invariant |
L |
4.5114253936018 |
L(r)(E,1)/r! |
Ω |
0.9300571626643 |
Real period |
R |
1.2126742244202 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046a1 28322l1 |
Quadratic twists by: -7 17 |