Atkin-Lehner |
2+ 3- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
56070o |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
2929922150400 = 212 · 38 · 52 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6399,-177395] |
[a1,a2,a3,a4,a6] |
j |
39753071528689/4019097600 |
j-invariant |
L |
2.1490659655669 |
L(r)(E,1)/r! |
Ω |
0.53726649055003 |
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 |
18690j1 |
Quadratic twists by: -3 |