Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600w |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
36454400000000 = 220 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20675,-1106750] |
[a1,a2,a3,a4,a6] |
Generators |
[510:11000:1] |
Generators of the group modulo torsion |
j |
15271450641/569600 |
j-invariant |
L |
6.3373099640275 |
L(r)(E,1)/r! |
Ω |
0.39905603240666 |
Real period |
R |
3.9701880496627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4450c1 7120o1 |
Quadratic twists by: -4 5 |