Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114660c |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
323751224160000 = 28 · 33 · 54 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-498183,-135338882] |
[a1,a2,a3,a4,a6] |
Generators |
[-409:6:1] |
Generators of the group modulo torsion |
j |
16815061239408/398125 |
j-invariant |
L |
5.6765253157293 |
L(r)(E,1)/r! |
Ω |
0.17970201453117 |
Real period |
R |
2.6323788041553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114660j2 16380b2 |
Quadratic twists by: -3 -7 |