Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230o |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-15360984375000 = -1 · 23 · 3 · 59 · 11 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,106,188576] |
[a1,a2,a3,a4,a6] |
j |
133511182631/15360984375000 |
j-invariant |
L |
1.6609572950215 |
L(r)(E,1)/r! |
Ω |
0.55365243167382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81840bj2 30690bk2 51150bp2 112530cs2 |
Quadratic twists by: -4 -3 5 -11 |