Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400dd |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
222720 |
Modular degree for the optimal curve |
Δ |
-62209026432000 = -1 · 210 · 35 · 53 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2312,-377828] |
[a1,a2,a3,a4,a6] |
j |
10673070412/486008019 |
j-invariant |
L |
0.59678754298893 |
L(r)(E,1)/r! |
Ω |
0.298393773667 |
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 |
71400by1 |
Quadratic twists by: 5 |