Atkin-Lehner |
2+ 3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15510b |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2282071044282480 = 24 · 312 · 5 · 11 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38242,-1748924] |
[a1,a2,a3,a4,a6] |
j |
6185335310838279721/2282071044282480 |
j-invariant |
L |
0.70399805010257 |
L(r)(E,1)/r! |
Ω |
0.35199902505129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080cl3 46530y3 77550bx3 |
Quadratic twists by: -4 -3 5 |