Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840a |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-1460114623072546560 = -1 · 28 · 39 · 5 · 74 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68823,-58550742] |
[a1,a2,a3,a4,a6] |
j |
-7154730064368/289771515845 |
j-invariant |
L |
1.4110177271597 |
L(r)(E,1)/r! |
Ω |
0.11758481060519 |
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 |
85680c1 42840bg1 |
Quadratic twists by: -4 -3 |