Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150eh |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
6.7768110715078E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16077230,-24490005603] |
[a1,a2,a3,a4,a6] |
Generators |
[5559:237845:1] |
Generators of the group modulo torsion |
j |
1089365384367428097483/16063552169500000 |
j-invariant |
L |
12.649552225804 |
L(r)(E,1)/r! |
Ω |
0.075463097789923 |
Real period |
R |
2.793761143804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150f4 16830o2 |
Quadratic twists by: -3 5 |