Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
64400bj |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
197225000000000000 = 212 · 514 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16835075,-26587074750] |
[a1,a2,a3,a4,a6] |
Generators |
[-7834386772039755:-305786933343750:3307283014699] |
Generators of the group modulo torsion |
j |
8244966675515989329/3081640625 |
j-invariant |
L |
5.5228206660727 |
L(r)(E,1)/r! |
Ω |
0.074532519183667 |
Real period |
R |
18.524869163722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001435 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4025c4 12880q3 |
Quadratic twists by: -4 5 |