Atkin-Lehner |
2+ 3- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674d |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
147840899036712336 = 24 · 316 · 74 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1857591,-973840883] |
[a1,a2,a3,a4,a6] |
Generators |
[-80784023:34007614:103823] |
Generators of the group modulo torsion |
j |
972403716568633470577/202799587155984 |
j-invariant |
L |
4.6849710402259 |
L(r)(E,1)/r! |
Ω |
0.1293205235974 |
Real period |
R |
9.056897756636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12558l2 |
Quadratic twists by: -3 |