Atkin-Lehner |
2+ 3- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
74646y |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1637875839388932 = 22 · 36 · 116 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51462,4062528] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:17571:8] |
Generators of the group modulo torsion |
j |
20675732857494625/2246743263908 |
j-invariant |
L |
5.2936782455826 |
L(r)(E,1)/r! |
Ω |
0.45927387002312 |
Real period |
R |
5.7630953897096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994219 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
8294d3 |
Quadratic twists by: -3 |