Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670q |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
108800 |
Modular degree for the optimal curve |
Δ |
-147542292422507520 = -1 · 210 · 35 · 5 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,71955,16951587] |
[a1,a2,a3,a4,a6] |
Generators |
[315:8268:1] |
Generators of the group modulo torsion |
j |
347428927/1244160 |
j-invariant |
L |
6.0738827419998 |
L(r)(E,1)/r! |
Ω |
0.23125223135247 |
Real period |
R |
5.2530370898279 |
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 |
69360dp1 26010g1 43350z1 8670u1 |
Quadratic twists by: -4 -3 5 17 |