Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670v |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7.1512413391252E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2086586,-1086607584] |
[a1,a2,a3,a4,a6] |
Generators |
[51240:1116508:27] |
Generators of the group modulo torsion |
j |
41623544884956481/2962701562500 |
j-invariant |
L |
6.9911882706549 |
L(r)(E,1)/r! |
Ω |
0.12617838183495 |
Real period |
R |
6.9258974566261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69360cb6 26010r6 43350b6 510e5 |
Quadratic twists by: -4 -3 5 17 |