Atkin-Lehner |
2- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28336m |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-1797603196928 = -1 · 223 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,496,64532] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-256:1] [68:646:1] |
Generators of the group modulo torsion |
j |
3288008303/438867968 |
j-invariant |
L |
8.2051682230979 |
L(r)(E,1)/r! |
Ω |
0.64327578041356 |
Real period |
R |
3.1888221478758 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542s1 113344dd1 |
Quadratic twists by: -4 8 |