Atkin-Lehner |
2- 3- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15510q |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
78617088000 = 212 · 33 · 53 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3070,63812] |
[a1,a2,a3,a4,a6] |
j |
3199983065606881/78617088000 |
j-invariant |
L |
6.4991605065656 |
L(r)(E,1)/r! |
Ω |
1.0831934177609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
124080bq1 46530k1 77550c1 |
Quadratic twists by: -4 -3 5 |