Atkin-Lehner |
2- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28864r |
Isogeny class |
Conductor |
28864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-108185042944 = -1 · 214 · 115 · 41 |
Discriminant |
Eigenvalues |
2- 0 -1 3 11+ 2 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188,15856] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:128:1] |
Generators of the group modulo torsion |
j |
-44851536/6603091 |
j-invariant |
L |
5.2608545573992 |
L(r)(E,1)/r! |
Ω |
0.86514764021997 |
Real period |
R |
3.0404374425974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28864k1 7216d1 |
Quadratic twists by: -4 8 |