Atkin-Lehner |
2+ 3+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
72048c |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5190914304 = 28 · 32 · 192 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2004,-33696] |
[a1,a2,a3,a4,a6] |
j |
3478512707152/20277009 |
j-invariant |
L |
0.71377204851682 |
L(r)(E,1)/r! |
Ω |
0.71377203201904 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36024f2 |
Quadratic twists by: -4 |