Atkin-Lehner |
2+ 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15170a |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-396131001241600 = -1 · 212 · 52 · 372 · 414 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -4 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15367,622373] |
[a1,a2,a3,a4,a6] |
j |
401279364103716071/396131001241600 |
j-invariant |
L |
2.8086000117664 |
L(r)(E,1)/r! |
Ω |
0.3510750014708 |
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 |
121360p2 75850p2 |
Quadratic twists by: -4 5 |