Atkin-Lehner |
2+ 3- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37506n |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2982422511916904448 = 212 · 310 · 7 · 192 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-365396,-18022318] |
[a1,a2,a3,a4,a6] |
Generators |
[-543:4783:1] |
Generators of the group modulo torsion |
j |
5395272319087393821625/2982422511916904448 |
j-invariant |
L |
5.9129466704982 |
L(r)(E,1)/r! |
Ω |
0.20792228916034 |
Real period |
R |
0.71095632584357 |
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 |
112518bk2 |
Quadratic twists by: -3 |