Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230dx |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
110262435670094400 = 26 · 38 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3354143,-2363504569] |
[a1,a2,a3,a4,a6] |
Generators |
[-1059:736:1] |
Generators of the group modulo torsion |
j |
3231355012744321/85377600 |
j-invariant |
L |
9.1306511347878 |
L(r)(E,1)/r! |
Ω |
0.11155906346348 |
Real period |
R |
3.4102455277793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000611 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25410bk2 6930f2 |
Quadratic twists by: -3 -11 |