Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686ct |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-1139261611278336 = -1 · 215 · 3 · 74 · 136 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-120247,-16141399] |
[a1,a2,a3,a4,a6] |
Generators |
[1366:47989:1] |
Generators of the group modulo torsion |
j |
-16591834777/98304 |
j-invariant |
L |
8.8277194998132 |
L(r)(E,1)/r! |
Ω |
0.12814367235082 |
Real period |
R |
2.2963078180994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686ci2 294d2 |
Quadratic twists by: -7 13 |