Atkin-Lehner |
2- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48412j |
Isogeny class |
Conductor |
48412 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-902587352025818368 = -1 · 28 · 78 · 13 · 196 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-780815,269469718] |
[a1,a2,a3,a4,a6] |
j |
-1747994050962000/29968226197 |
j-invariant |
L |
1.6832542255186 |
L(r)(E,1)/r! |
Ω |
0.28054237086223 |
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 |
6916e2 |
Quadratic twists by: -7 |