Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420d |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9954677250000 = 24 · 39 · 56 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-984528,-376002027] |
[a1,a2,a3,a4,a6] |
j |
335117149277257728/31609375 |
j-invariant |
L |
2.7281298925681 |
L(r)(E,1)/r! |
Ω |
0.15156277180934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680cr3 21420h1 107100b3 |
Quadratic twists by: -4 -3 5 |