Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950bo |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-4561746875000 = -1 · 23 · 58 · 72 · 313 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 3 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3300,-71000] |
[a1,a2,a3,a4,a6] |
Generators |
[85:870:1] |
Generators of the group modulo torsion |
j |
207540935/238328 |
j-invariant |
L |
3.3234263241742 |
L(r)(E,1)/r! |
Ω |
0.41662115397009 |
Real period |
R |
2.659031505233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950ce2 75950bm2 |
Quadratic twists by: 5 -7 |