Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960bh |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
5.3771881308166E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-566869256,5193456385200] |
[a1,a2,a3,a4,a6] |
Generators |
[17419:777666:1] |
Generators of the group modulo torsion |
j |
83609231549925663172082/22317062975463375 |
j-invariant |
L |
8.6038411040484 |
L(r)(E,1)/r! |
Ω |
0.074536726650363 |
Real period |
R |
8.2450639604739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280j2 |
Quadratic twists by: -7 |