Atkin-Lehner |
2+ 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
49056j |
Isogeny class |
Conductor |
49056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
5494272 = 29 · 3 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114464,14867580] |
[a1,a2,a3,a4,a6] |
j |
323939793277755656/10731 |
j-invariant |
L |
2.5643780456512 |
L(r)(E,1)/r! |
Ω |
1.2821890229244 |
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 |
49056l4 98112l4 |
Quadratic twists by: -4 8 |