Atkin-Lehner |
3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611d |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
250687795157217 = 33 · 113 · 178 |
Discriminant |
Eigenvalues |
1 3+ -2 2 11- -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19128,-670909] |
[a1,a2,a3,a4,a6] |
j |
1187648379/384659 |
j-invariant |
L |
2.4984467912364 |
L(r)(E,1)/r! |
Ω |
0.41640779853962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28611c1 1683a1 |
Quadratic twists by: -3 17 |