Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fk |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
56483929761251328 = 220 · 310 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125004,12594832] |
[a1,a2,a3,a4,a6] |
Generators |
[1196:39672:1] |
Generators of the group modulo torsion |
j |
1130389181713/295568028 |
j-invariant |
L |
8.3346839020347 |
L(r)(E,1)/r! |
Ω |
0.32998902638022 |
Real period |
R |
3.1571822226632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bb3 19152bu4 25536dp3 |
Quadratic twists by: -4 8 -3 |