Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
41760d |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-175351910400 = -1 · 212 · 310 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,852,-17728] |
[a1,a2,a3,a4,a6] |
Generators |
[22:108:1] |
Generators of the group modulo torsion |
j |
22906304/58725 |
j-invariant |
L |
6.2740604053127 |
L(r)(E,1)/r! |
Ω |
0.52348732750997 |
Real period |
R |
1.4981404695965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41760e2 83520fr1 13920x2 |
Quadratic twists by: -4 8 -3 |