Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510bp |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
1.8872093906765E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1766214,616397620] |
[a1,a2,a3,a4,a6] |
Generators |
[-649:38912:1] |
Generators of the group modulo torsion |
j |
20713044141847/6415200000 |
j-invariant |
L |
5.0715905832627 |
L(r)(E,1)/r! |
Ω |
0.16614300584123 |
Real period |
R |
1.5262726702173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bi1 48510w1 |
Quadratic twists by: -3 -7 |