Atkin-Lehner |
2- 3- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
56070w |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-73575054000 = -1 · 24 · 310 · 53 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-338,-13183] |
[a1,a2,a3,a4,a6] |
j |
-5841725401/100926000 |
j-invariant |
L |
3.7538659329451 |
L(r)(E,1)/r! |
Ω |
0.46923324175581 |
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 |
18690i1 |
Quadratic twists by: -3 |