Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230y |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2401270821259833600 = 28 · 36 · 52 · 74 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1425705,-650616499] |
[a1,a2,a3,a4,a6] |
Generators |
[1741:45412:1] |
Generators of the group modulo torsion |
j |
248158561089321/1859334400 |
j-invariant |
L |
4.7536259389538 |
L(r)(E,1)/r! |
Ω |
0.13822553915706 |
Real period |
R |
4.2987948966889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000821 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8470ba2 6930bc2 |
Quadratic twists by: -3 -11 |