Atkin-Lehner |
2+ 3+ 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450a |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-4133378906250 = -1 · 2 · 3 · 510 · 113 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ 1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7042200,-7195944750] |
[a1,a2,a3,a4,a6] |
Generators |
[929927897419634481797996129033482735378701094082430954304868945:-72073977958833643566494037056882772493566272649781475142606296732:131554574232338668296507210286016958917311917346897178517625] |
Generators of the group modulo torsion |
j |
-3955021329751083025/423258 |
j-invariant |
L |
4.6250903137565 |
L(r)(E,1)/r! |
Ω |
0.046338552376539 |
Real period |
R |
99.810850286687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450cm2 |
Quadratic twists by: 5 |