Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
738c |
Isogeny class |
Conductor |
738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
392203458 = 2 · 314 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3951,96579] |
[a1,a2,a3,a4,a6] |
j |
9357915116017/538002 |
j-invariant |
L |
1.5977768393853 |
L(r)(E,1)/r! |
Ω |
1.5977768393853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5904m3 23616k4 246e3 18450bs3 |
Quadratic twists by: -4 8 -3 5 |