Atkin-Lehner |
2+ 3- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37506q |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
108818295642 = 2 · 33 · 7 · 194 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1663,-20848] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:83:1] |
Generators of the group modulo torsion |
j |
508188696359401/108818295642 |
j-invariant |
L |
4.1628712850781 |
L(r)(E,1)/r! |
Ω |
0.7590126445897 |
Real period |
R |
0.91409792154604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518bn2 |
Quadratic twists by: -3 |