Atkin-Lehner |
2- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63920i |
Isogeny class |
Conductor |
63920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
1138000343859200 = 222 · 52 · 173 · 472 |
Discriminant |
Eigenvalues |
2- -2 5- 4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32920,1617300] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:256:1] |
Generators of the group modulo torsion |
j |
963288634285081/277832115200 |
j-invariant |
L |
4.6946657293441 |
L(r)(E,1)/r! |
Ω |
0.45433375452369 |
Real period |
R |
2.5832692829938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000407 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7990b1 |
Quadratic twists by: -4 |