Atkin-Lehner |
2- 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24360s |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
19098240000 = 210 · 3 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-636616,195720316] |
[a1,a2,a3,a4,a6] |
Generators |
[470:336:1] [561:3850:1] |
Generators of the group modulo torsion |
j |
27864874165385148196/18650625 |
j-invariant |
L |
6.4009799466161 |
L(r)(E,1)/r! |
Ω |
0.75407093654443 |
Real period |
R |
2.8295215725768 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48720o4 73080p4 121800u4 |
Quadratic twists by: -4 -3 5 |