Atkin-Lehner |
2- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8680l |
Isogeny class |
Conductor |
8680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-9721600 = -1 · 28 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36,160] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:14:1] [-1:14:1] |
Generators of the group modulo torsion |
j |
-20720464/37975 |
j-invariant |
L |
4.0153711073653 |
L(r)(E,1)/r! |
Ω |
2.0514358180481 |
Real period |
R |
0.4893366723978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17360g1 69440be1 78120l1 43400h1 |
Quadratic twists by: -4 8 -3 5 |