Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230ew |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-8750986957944000000 = -1 · 29 · 36 · 56 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,374593,111574631] |
[a1,a2,a3,a4,a6] |
j |
37199299511/56000000 |
j-invariant |
L |
2.8341348890126 |
L(r)(E,1)/r! |
Ω |
0.15745193953375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8470i2 76230bp2 |
Quadratic twists by: -3 -11 |