Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
59640s |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
2691072 |
Modular degree for the optimal curve |
Δ |
-3.440206506704E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,235025,2821694498] |
[a1,a2,a3,a4,a6] |
Generators |
[-574:49980:1] |
Generators of the group modulo torsion |
j |
89731321889829177344/215012906668997269875 |
j-invariant |
L |
9.2917409875388 |
L(r)(E,1)/r! |
Ω |
0.11055128102634 |
Real period |
R |
2.3346985572985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119280f1 |
Quadratic twists by: -4 |