Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56840a |
Isogeny class |
Conductor |
56840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
106994706560000 = 210 · 54 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 4 6 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27456,1669744] |
[a1,a2,a3,a4,a6] |
j |
19000416964/888125 |
j-invariant |
L |
2.3525702563681 |
L(r)(E,1)/r! |
Ω |
0.5881425640883 |
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 |
113680c2 8120e2 |
Quadratic twists by: -4 -7 |