Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670q |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
5601996415417082400 = 25 · 310 · 52 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-714125,202152035] |
[a1,a2,a3,a4,a6] |
Generators |
[33:13348:1] |
Generators of the group modulo torsion |
j |
339630096833/47239200 |
j-invariant |
L |
6.0738827419998 |
L(r)(E,1)/r! |
Ω |
0.23125223135247 |
Real period |
R |
2.6265185449139 |
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 |
69360dp2 26010g2 43350z2 8670u2 |
Quadratic twists by: -4 -3 5 17 |