Atkin-Lehner |
2+ 3- 7- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
37506j |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22507200576 = 26 · 32 · 72 · 192 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16670,-829744] |
[a1,a2,a3,a4,a6] |
j |
512263085048171353/22507200576 |
j-invariant |
L |
3.3613203712753 |
L(r)(E,1)/r! |
Ω |
0.4201650464129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112518bf2 |
Quadratic twists by: -3 |