Atkin-Lehner |
2+ 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410x |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-669723003306049000 = -1 · 23 · 53 · 76 · 112 · 196 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,184313,25030461] |
[a1,a2,a3,a4,a6] |
j |
5885721311824151/5692551601000 |
j-invariant |
L |
2.2634577482513 |
L(r)(E,1)/r! |
Ω |
0.18862150250266 |
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 |
2090e4 |
Quadratic twists by: -7 |