Atkin-Lehner |
2- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63550w |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
3940100000000 = 28 · 58 · 312 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21188,-1185008] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:104:1] |
Generators of the group modulo torsion |
j |
67324767141241/252166400 |
j-invariant |
L |
6.5597882662524 |
L(r)(E,1)/r! |
Ω |
0.39579908753319 |
Real period |
R |
1.0358456589102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710i1 |
Quadratic twists by: 5 |