Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240u |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-10173463962009600 = -1 · 214 · 3 · 52 · 73 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10801,-4868399] |
[a1,a2,a3,a4,a6] |
j |
-8506205668816/620938962525 |
j-invariant |
L |
2.1532126929348 |
L(r)(E,1)/r! |
Ω |
0.17943443435673 |
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 |
114240ic4 7140o4 |
Quadratic twists by: -4 8 |