Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970c |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1606526507250000 = 24 · 33 · 56 · 77 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81300,-8691264] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:384:1] [-173:503:1] |
Generators of the group modulo torsion |
j |
18708817969323/505750000 |
j-invariant |
L |
7.2090070779352 |
L(r)(E,1)/r! |
Ω |
0.28320013151512 |
Real period |
R |
1.5909701028669 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970cj2 10710d2 |
Quadratic twists by: -3 -7 |