Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76320y |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
106823577600 = 212 · 39 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7452,247104] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:540:1] |
Generators of the group modulo torsion |
j |
567663552/1325 |
j-invariant |
L |
6.4393619750589 |
L(r)(E,1)/r! |
Ω |
1.0605297202087 |
Real period |
R |
1.5179588681032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320x2 76320c2 |
Quadratic twists by: -4 -3 |