Atkin-Lehner |
2- 3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382y |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
137177315623656 = 23 · 32 · 76 · 113 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 7 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-235544,43898609] |
[a1,a2,a3,a4,a6] |
Generators |
[267:229:1] |
Generators of the group modulo torsion |
j |
12284337086925553/1165987944 |
j-invariant |
L |
11.543687874975 |
L(r)(E,1)/r! |
Ω |
0.5577241225932 |
Real period |
R |
3.4496409631361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1518p2 |
Quadratic twists by: -7 |