Atkin-Lehner |
2+ 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
6230a |
Isogeny class |
Conductor |
6230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
350108057600 = 216 · 52 · 74 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4025,-93075] |
[a1,a2,a3,a4,a6] |
Generators |
[95:565:1] |
Generators of the group modulo torsion |
j |
7212437423428329/350108057600 |
j-invariant |
L |
2.5549115133524 |
L(r)(E,1)/r! |
Ω |
0.60118576806177 |
Real period |
R |
2.1248935429638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49840m1 56070ba1 31150t1 43610m1 |
Quadratic twists by: -4 -3 5 -7 |