Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576bb |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1068447744 = -1 · 211 · 32 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,208,1140] |
[a1,a2,a3,a4,a6] |
j |
1409938/1521 |
j-invariant |
L |
4.1196061731428 |
L(r)(E,1)/r! |
Ω |
1.0299015432865 |
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 |
15288x2 122304fn2 91728br2 30576f2 |
Quadratic twists by: -4 8 -3 -7 |