Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66924h |
Isogeny class |
Conductor |
66924 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.2529962015112E+27 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-294447855,-938906198282] |
[a1,a2,a3,a4,a6] |
Generators |
[-9529:1000818:1] |
Generators of the group modulo torsion |
j |
3134160907827154000/1390984039929627 |
j-invariant |
L |
4.762520801593 |
L(r)(E,1)/r! |
Ω |
0.037975701518499 |
Real period |
R |
5.2254035814375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22308f2 5148e2 |
Quadratic twists by: -3 13 |