Atkin-Lehner |
2+ 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286v |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6.3612574829136E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 11- -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3872850,4829881252] |
[a1,a2,a3,a4,a6] |
Generators |
[1301:44001:1] [752:48027:1] |
Generators of the group modulo torsion |
j |
-29969127500993593/29675735631936 |
j-invariant |
L |
6.313736718616 |
L(r)(E,1)/r! |
Ω |
0.12192491966964 |
Real period |
R |
2.1576586967488 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286bm2 |
Quadratic twists by: -11 |