Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760bi |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-38072320 = -1 · 212 · 5 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11+ 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39,295] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:16:1] |
Generators of the group modulo torsion |
j |
1560896/9295 |
j-invariant |
L |
3.8631505796416 |
L(r)(E,1)/r! |
Ω |
1.4834023153576 |
Real period |
R |
1.3021250336596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45760bm1 22880c1 |
Quadratic twists by: -4 8 |