Atkin-Lehner |
5- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8815b |
Isogeny class |
Conductor |
8815 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-27546875 = -1 · 56 · 41 · 43 |
Discriminant |
Eigenvalues |
-2 -1 5- 0 -4 -6 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10,256] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:12:1] [5:17:1] |
Generators of the group modulo torsion |
j |
-122023936/27546875 |
j-invariant |
L |
2.7603526658011 |
L(r)(E,1)/r! |
Ω |
1.7174830465927 |
Real period |
R |
0.26786801683191 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79335d1 44075e1 |
Quadratic twists by: -3 5 |