Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840by |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
429617324304000000 = 210 · 38 · 56 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2276067,1321301774] |
[a1,a2,a3,a4,a6] |
j |
1746832862522547076/575511890625 |
j-invariant |
L |
3.5038381956427 |
L(r)(E,1)/r! |
Ω |
0.29198651629638 |
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 |
85680bz2 14280d2 |
Quadratic twists by: -4 -3 |