Atkin-Lehner |
2- 3- 7+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
32802d |
Isogeny class |
Conductor |
32802 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
465920 |
Modular degree for the optimal curve |
Δ |
-560165276441852928 = -1 · 210 · 32 · 77 · 114 · 712 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,62777,35502089] |
[a1,a2,a3,a4,a6] |
j |
27360558163209647375/560165276441852928 |
j-invariant |
L |
4.3568604023163 |
L(r)(E,1)/r! |
Ω |
0.21784302011583 |
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 |
98406e1 |
Quadratic twists by: -3 |