Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768cl |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.7613348806209E+23 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-185443244,971667495120] |
[a1,a2,a3,a4,a6] |
Generators |
[5909430385124:-178258099899880:904231063] |
Generators of the group modulo torsion |
j |
22868021811807457713/8953460393696 |
j-invariant |
L |
6.9378179144668 |
L(r)(E,1)/r! |
Ω |
0.096062765115193 |
Real period |
R |
18.055429453211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40768m4 10192bf4 5824bd3 |
Quadratic twists by: -4 8 -7 |