Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2982l |
Isogeny class |
Conductor |
2982 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
563598 = 2 · 34 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 0 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-756,7938] |
[a1,a2,a3,a4,a6] |
j |
47788676405569/563598 |
j-invariant |
L |
5.2907244938294 |
L(r)(E,1)/r! |
Ω |
2.6453622469147 |
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 |
23856r2 95424p2 8946m2 74550b2 |
Quadratic twists by: -4 8 -3 5 |