Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680cb |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-86354742476800 = -1 · 222 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7252,-378672] |
[a1,a2,a3,a4,a6] |
Generators |
[44:160:1] |
Generators of the group modulo torsion |
j |
1367631/2800 |
j-invariant |
L |
4.0811901762846 |
L(r)(E,1)/r! |
Ω |
0.31544960549563 |
Real period |
R |
3.2344232685536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15680f1 3920ba1 78400gy1 2240y1 |
Quadratic twists by: -4 8 5 -7 |