Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8670p |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-6414412800 = -1 · 210 · 3 · 52 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -6 1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11566,473963] |
[a1,a2,a3,a4,a6] |
Generators |
[1:679:1] |
Generators of the group modulo torsion |
j |
-2048707405729/76800 |
j-invariant |
L |
4.7655864928176 |
L(r)(E,1)/r! |
Ω |
1.2528555516938 |
Real period |
R |
0.063396328044028 |
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 |
69360di1 26010x1 43350bl1 8670z1 |
Quadratic twists by: -4 -3 5 17 |