Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680bs |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-28098560 = -1 · 214 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 5 -7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-485,4285] |
[a1,a2,a3,a4,a6] |
Generators |
[12:7:1] |
Generators of the group modulo torsion |
j |
-2249728/5 |
j-invariant |
L |
4.137546227558 |
L(r)(E,1)/r! |
Ω |
2.1072394024471 |
Real period |
R |
0.98174564853741 |
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 |
15680do1 1960j1 78400bj1 15680l1 |
Quadratic twists by: -4 8 5 -7 |