Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7140a |
Isogeny class |
Conductor |
7140 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
89964000000 = 28 · 33 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2156,36456] |
[a1,a2,a3,a4,a6] |
j |
4331431355344/351421875 |
j-invariant |
L |
1.0485708162009 |
L(r)(E,1)/r! |
Ω |
1.0485708162009 |
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 |
28560dm2 114240ef2 21420v2 35700bl2 |
Quadratic twists by: -4 8 -3 5 |