Atkin-Lehner |
2- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63580k |
Isogeny class |
Conductor |
63580 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
8570880 |
Modular degree for the optimal curve |
Δ |
7.4765777959009E+22 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85590625,-304525139352] |
[a1,a2,a3,a4,a6] |
Generators |
[-5257:13027:1] |
Generators of the group modulo torsion |
j |
179551401487197159424/193592864403125 |
j-invariant |
L |
5.337491510214 |
L(r)(E,1)/r! |
Ω |
0.049638782334436 |
Real period |
R |
7.1684427092672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3740c1 |
Quadratic twists by: 17 |