Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616cp |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-186397065216 = -1 · 215 · 39 · 172 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 -3 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18737859,-31219652414] |
[a1,a2,a3,a4,a6] |
Generators |
[30047:5151006:1] |
Generators of the group modulo torsion |
j |
-843137281012581793/216 |
j-invariant |
L |
2.2566438467747 |
L(r)(E,1)/r! |
Ω |
0.036281862019203 |
Real period |
R |
7.7746969187736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5202c2 13872bl2 41616cw2 |
Quadratic twists by: -4 -3 17 |