Atkin-Lehner |
2+ 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370r |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
117253271250 = 2 · 38 · 54 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1224,918] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:84:1] [-21:141:1] |
Generators of the group modulo torsion |
j |
278317173889/160841250 |
j-invariant |
L |
6.4909947736862 |
L(r)(E,1)/r! |
Ω |
0.89099235461401 |
Real period |
R |
0.91064119967934 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790z2 |
Quadratic twists by: -3 |