Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
9324f |
Isogeny class |
Conductor |
9324 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
37556773632 = 28 · 37 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7167,233350] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:666:1] [-25:630:1] |
Generators of the group modulo torsion |
j |
218156637904/201243 |
j-invariant |
L |
4.9213052218014 |
L(r)(E,1)/r! |
Ω |
1.1475835554505 |
Real period |
R |
0.35736724052517 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37296bv2 3108h2 65268l2 |
Quadratic twists by: -4 -3 -7 |