Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65800d |
Isogeny class |
Conductor |
65800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1805552000000 = -1 · 210 · 56 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2875,87750] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:336:1] |
Generators of the group modulo torsion |
j |
-164254500/112847 |
j-invariant |
L |
5.4632084821585 |
L(r)(E,1)/r! |
Ω |
0.77082708637158 |
Real period |
R |
1.771865758899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2632b1 |
Quadratic twists by: 5 |