Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320o |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1179510336000 = 29 · 38 · 53 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11523,-473222] |
[a1,a2,a3,a4,a6] |
Generators |
[113414:1936278:343] |
Generators of the group modulo torsion |
j |
453338818568/3160125 |
j-invariant |
L |
7.5755091380919 |
L(r)(E,1)/r! |
Ω |
0.4609890539641 |
Real period |
R |
8.2165824474773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320p2 25440bi2 |
Quadratic twists by: -4 -3 |