Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520eh |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
82575360 |
Modular degree for the optimal curve |
Δ |
8.0149894067927E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20000180667,1088676007236074] |
[a1,a2,a3,a4,a6] |
Generators |
[-147667:28672000:1] |
Generators of the group modulo torsion |
j |
296304326013275547793071733369/268420373544960000000 |
j-invariant |
L |
6.1067846399284 |
L(r)(E,1)/r! |
Ω |
0.042071278938784 |
Real period |
R |
2.592023072737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190bm1 21840bh1 |
Quadratic twists by: -4 -3 |