Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950bg |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
173124180031250 = 2 · 56 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -6 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-639475,-197092125] |
[a1,a2,a3,a4,a6] |
Generators |
[1071531:-33472610:729] |
Generators of the group modulo torsion |
j |
15732118860193/94178 |
j-invariant |
L |
6.7631267445151 |
L(r)(E,1)/r! |
Ω |
0.16882770996346 |
Real period |
R |
10.014835161344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3038l2 10850k2 |
Quadratic twists by: 5 -7 |