Atkin-Lehner |
2+ 3- 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010w |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
2.5346671198618E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16108029,-24867695547] |
[a1,a2,a3,a4,a6] |
Generators |
[-2277:2016:1] |
Generators of the group modulo torsion |
j |
634049854788721281897169/347690962944000000 |
j-invariant |
L |
5.1785463212542 |
L(r)(E,1)/r! |
Ω |
0.075362144253742 |
Real period |
R |
3.817526965206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20670z1 |
Quadratic twists by: -3 |