Atkin-Lehner |
2+ 3- 7- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
37506l |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
198097661755392 = 215 · 3 · 7 · 194 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3669663,2705441842] |
[a1,a2,a3,a4,a6] |
j |
5465150060669795035751401/198097661755392 |
j-invariant |
L |
1.6694345537715 |
L(r)(E,1)/r! |
Ω |
0.41735863844755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518bj2 |
Quadratic twists by: -3 |