Atkin-Lehner |
2+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600k |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
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 |
[23:-50:1] [-18:132:1] |
Generators of the group modulo torsion |
j |
3650692/89 |
j-invariant |
L |
5.471787802565 |
L(r)(E,1)/r! |
Ω |
1.5132513191126 |
Real period |
R |
0.90397869366671 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17800m1 1424a1 |
Quadratic twists by: -4 5 |