Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296cn |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1002287333376 = 216 · 310 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3182619,2185370570] |
[a1,a2,a3,a4,a6] |
Generators |
[222630:8495:216] |
Generators of the group modulo torsion |
j |
1193961132635558617/335664 |
j-invariant |
L |
6.7995227478316 |
L(r)(E,1)/r! |
Ω |
0.51990081431434 |
Real period |
R |
6.5392499498185 |
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 |
4662l3 12432bl3 |
Quadratic twists by: -4 -3 |