Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
17800m |
Isogeny class |
Conductor |
17800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
1424000000 = 210 · 56 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-808,-8388] |
[a1,a2,a3,a4,a6] |
Generators |
[666:5625:8] |
Generators of the group modulo torsion |
j |
3650692/89 |
j-invariant |
L |
7.8454670863806 |
L(r)(E,1)/r! |
Ω |
0.89670012034968 |
Real period |
R |
4.3746325601703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35600k1 712a1 |
Quadratic twists by: -4 5 |