Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840m |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
455260572900000000 = 28 · 38 · 58 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18742503,-31231242502] |
[a1,a2,a3,a4,a6] |
j |
3901566248250599880016/2439453515625 |
j-invariant |
L |
0.2902369256709 |
L(r)(E,1)/r! |
Ω |
0.072559231399699 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680be2 14280bk2 |
Quadratic twists by: -4 -3 |