Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674v |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2774483240806368 = 25 · 37 · 78 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49550,3418301] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:2355:1] |
Generators of the group modulo torsion |
j |
18455207956809625/3805875501792 |
j-invariant |
L |
9.1918450277882 |
L(r)(E,1)/r! |
Ω |
0.42923996706395 |
Real period |
R |
0.53535584597707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558j2 |
Quadratic twists by: -3 |