Atkin-Lehner |
2+ 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
28840a |
Isogeny class |
Conductor |
28840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
246272 |
Modular degree for the optimal curve |
Δ |
-309128750000000000 = -1 · 210 · 513 · 74 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 2 -6 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116096,30741104] |
[a1,a2,a3,a4,a6] |
j |
-168997105552246276/301883544921875 |
j-invariant |
L |
2.1892687757179 |
L(r)(E,1)/r! |
Ω |
0.27365859696476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57680b1 |
Quadratic twists by: -4 |