Atkin-Lehner |
2+ 3- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
74646x |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-2.9842194428341E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11- 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6266502,-10271475216] |
[a1,a2,a3,a4,a6] |
Generators |
[12546:1366956:1] |
Generators of the group modulo torsion |
j |
-37331184546349279638625/40935794826256330572 |
j-invariant |
L |
4.401278551575 |
L(r)(E,1)/r! |
Ω |
0.045739680745632 |
Real period |
R |
2.6729031672632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000748 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24882bg2 |
Quadratic twists by: -3 |