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 |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-8696541474717696 = -1 · 221 · 315 · 172 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 -3 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-230979,-42962366] |
[a1,a2,a3,a4,a6] |
Generators |
[671:10206:1] |
Generators of the group modulo torsion |
j |
-1579268174113/10077696 |
j-invariant |
L |
2.2566438467747 |
L(r)(E,1)/r! |
Ω |
0.10884558605761 |
Real period |
R |
2.5915656395912 |
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 |
5202c1 13872bl1 41616cw1 |
Quadratic twists by: -4 -3 17 |