Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57460c |
Isogeny class |
Conductor |
57460 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.204232281332E+21 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2717745,430717600] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:29575:1] |
Generators of the group modulo torsion |
j |
28745501621960704/15593017578125 |
j-invariant |
L |
5.4962880297406 |
L(r)(E,1)/r! |
Ω |
0.13410153235729 |
Real period |
R |
1.1385005436507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4420a3 |
Quadratic twists by: 13 |