Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230du |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
465122189035350 = 2 · 37 · 52 · 74 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2091751223,-36821967736903] |
[a1,a2,a3,a4,a6] |
Generators |
[362386960:-89040483287:4096] |
Generators of the group modulo torsion |
j |
783736670177727068275201/360150 |
j-invariant |
L |
10.571871124782 |
L(r)(E,1)/r! |
Ω |
0.022324001693972 |
Real period |
R |
14.798913617144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999998957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bj8 630c7 |
Quadratic twists by: -3 -11 |