Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608cd |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14296891392 = 214 · 38 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25500,1567312] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:1404:1] |
Generators of the group modulo torsion |
j |
153531250000/1197 |
j-invariant |
L |
5.7865130866308 |
L(r)(E,1)/r! |
Ω |
1.1225860359602 |
Real period |
R |
2.5773138530992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ee2 9576bb2 25536bo2 |
Quadratic twists by: -4 8 -3 |