Atkin-Lehner |
2+ 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450n |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
44365482000000000 = 210 · 39 · 59 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-423936492,-3359584865584] |
[a1,a2,a3,a4,a6] |
Generators |
[-15111773446092359933:7558983277850977751:1271259473695289] |
Generators of the group modulo torsion |
j |
219181950070420668759/1154048 |
j-invariant |
L |
3.5713247773756 |
L(r)(E,1)/r! |
Ω |
0.033271651175981 |
Real period |
R |
26.834592295525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450cv2 72450da2 |
Quadratic twists by: -3 5 |