Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330dc |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24929046604835100 = 22 · 39 · 52 · 78 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62009093,187960676257] |
[a1,a2,a3,a4,a6] |
Generators |
[36766:27575:8] |
Generators of the group modulo torsion |
j |
11387025941627437947/10765300 |
j-invariant |
L |
7.8493986377029 |
L(r)(E,1)/r! |
Ω |
0.23707424388896 |
Real period |
R |
4.1386816788001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330j2 8190bf4 |
Quadratic twists by: -3 -7 |