Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296t |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1788417792 = -1 · 28 · 36 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,225,1566] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1702:1] |
Generators of the group modulo torsion |
j |
6750000/9583 |
j-invariant |
L |
6.4655886144032 |
L(r)(E,1)/r! |
Ω |
1.0068186389338 |
Real period |
R |
3.2109003371497 |
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 |
18648u2 4144a2 |
Quadratic twists by: -4 -3 |