Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89908f |
Isogeny class |
Conductor |
89908 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-284149380406528 = -1 · 28 · 72 · 137 · 192 |
Discriminant |
Eigenvalues |
2- 0 0 7- -4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4225,804102] |
[a1,a2,a3,a4,a6] |
Generators |
[39:1014:1] |
Generators of the group modulo torsion |
j |
6750000/229957 |
j-invariant |
L |
4.6006527264528 |
L(r)(E,1)/r! |
Ω |
0.41393654195506 |
Real period |
R |
0.92619927886134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014379 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6916c2 |
Quadratic twists by: 13 |