Atkin-Lehner |
2- 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104664f |
Isogeny class |
Conductor |
104664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16692652032 = 211 · 3 · 73 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-688,3340] |
[a1,a2,a3,a4,a6] |
Generators |
[282:1177:8] |
Generators of the group modulo torsion |
j |
51344750/23763 |
j-invariant |
L |
5.6931063033356 |
L(r)(E,1)/r! |
Ω |
1.1051096701322 |
Real period |
R |
5.1516211032483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104664n2 |
Quadratic twists by: -7 |