Atkin-Lehner |
2- 3+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37392i |
Isogeny class |
Conductor |
37392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1772732583936 = -1 · 212 · 34 · 194 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2416,-45696] |
[a1,a2,a3,a4,a6] |
Generators |
[66:630:1] |
Generators of the group modulo torsion |
j |
380605258223/432796041 |
j-invariant |
L |
3.5079717392815 |
L(r)(E,1)/r! |
Ω |
0.45107531996855 |
Real period |
R |
3.8884545263144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2337c4 112176o3 |
Quadratic twists by: -4 -3 |