Atkin-Lehner |
2- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
39160q |
Isogeny class |
Conductor |
39160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
8339513600 = 28 · 52 · 114 · 89 |
Discriminant |
Eigenvalues |
2- 2 5- 2 11+ 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-580,3300] |
[a1,a2,a3,a4,a6] |
j |
84433792336/32576225 |
j-invariant |
L |
4.7691514168913 |
L(r)(E,1)/r! |
Ω |
1.1922878542353 |
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 |
78320r1 |
Quadratic twists by: -4 |