Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352bl |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.1445030693245E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3320364,-2308080080] |
[a1,a2,a3,a4,a6] |
Generators |
[7678597390:1376019463005:238328] |
Generators of the group modulo torsion |
j |
21184262604460873/216872764416 |
j-invariant |
L |
6.5898275270875 |
L(r)(E,1)/r! |
Ω |
0.1119107072272 |
Real period |
R |
14.721173001135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44352ek2 1386g2 14784x2 |
Quadratic twists by: -4 8 -3 |