Atkin-Lehner |
2+ 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320q |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
33358054400 = 210 · 52 · 114 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47507,3985506] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:2720:1] [5:1936:1] |
Generators of the group modulo torsion |
j |
11579680429147044/32576225 |
j-invariant |
L |
10.939211644807 |
L(r)(E,1)/r! |
Ω |
1.0133338184009 |
Real period |
R |
5.3976347409197 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000099 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39160p4 |
Quadratic twists by: -4 |