Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550f |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45792000 |
Modular degree for the optimal curve |
Δ |
4.0423135554638E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-455666575,-2158715622875] |
[a1,a2,a3,a4,a6] |
Generators |
[195094749539987129098798:63143714137678623878746345:1782974658180291857] |
Generators of the group modulo torsion |
j |
1071433417528751711351425/413932908079488172032 |
j-invariant |
L |
4.2391661373767 |
L(r)(E,1)/r! |
Ω |
0.033765105949707 |
Real period |
R |
31.387182256224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550dr1 |
Quadratic twists by: 5 |