Atkin-Lehner |
3+ 5+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675l |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-54959104477265625 = -1 · 33 · 57 · 7 · 134 · 194 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,94225,-1773750] |
[a1,a2,a3,a4,a6] |
Generators |
[151112:3611337:512] |
Generators of the group modulo torsion |
j |
5920998113398031/3517382686545 |
j-invariant |
L |
6.1497486950807 |
L(r)(E,1)/r! |
Ω |
0.20675999911791 |
Real period |
R |
7.4358540133821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935m3 |
Quadratic twists by: 5 |