Atkin-Lehner |
2+ 7- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
15106c |
Isogeny class |
Conductor |
15106 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1099315403368 = -1 · 23 · 73 · 136 · 83 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -3 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1854,-39844] |
[a1,a2,a3,a4,a6] |
Generators |
[24:124:1] [50:397:1] |
Generators of the group modulo torsion |
j |
705325505078375/1099315403368 |
j-invariant |
L |
3.9214453072092 |
L(r)(E,1)/r! |
Ω |
0.46021715929919 |
Real period |
R |
0.47338102941334 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120848f2 105742c2 |
Quadratic twists by: -4 -7 |