Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850cf |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147087360 |
Modular degree for the optimal curve |
Δ |
2.5642197873481E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7559280792,-251792064264384] |
[a1,a2,a3,a4,a6] |
Generators |
[1555969485481201859583504:2015703055938769259374956792:923916508258022063] |
Generators of the group modulo torsion |
j |
4193895363953824558241038009/22511668914990297907200 |
j-invariant |
L |
4.3324703484572 |
L(r)(E,1)/r! |
Ω |
0.016196448085272 |
Real period |
R |
33.43688632795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950cx1 11970ca1 |
Quadratic twists by: -3 5 |