Atkin-Lehner |
2- 3- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
129780g |
Isogeny class |
Conductor |
129780 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5347941223968000 = -1 · 28 · 38 · 53 · 74 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39423,-4632122] |
[a1,a2,a3,a4,a6] |
Generators |
[251:1134:1] |
Generators of the group modulo torsion |
j |
-36308242595536/28656235125 |
j-invariant |
L |
6.6124499946948 |
L(r)(E,1)/r! |
Ω |
0.16385428148785 |
Real period |
R |
3.3629728359384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43260e2 |
Quadratic twists by: -3 |