Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670u |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-6112558080 = -1 · 210 · 35 · 5 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,249,3465] |
[a1,a2,a3,a4,a6] |
Generators |
[6:69:1] |
Generators of the group modulo torsion |
j |
347428927/1244160 |
j-invariant |
L |
6.9684315138478 |
L(r)(E,1)/r! |
Ω |
0.95347737602599 |
Real period |
R |
0.29233757146463 |
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 |
69360ca1 26010q1 43350a1 8670q1 |
Quadratic twists by: -4 -3 5 17 |