Atkin-Lehner |
2- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
49840w |
Isogeny class |
Conductor |
49840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3936 |
Modular degree for the optimal curve |
Δ |
-49840 = -1 · 24 · 5 · 7 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -5 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,10] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] |
Generators of the group modulo torsion |
j |
-1048576/3115 |
j-invariant |
L |
4.4829804470757 |
L(r)(E,1)/r! |
Ω |
3.1371158542907 |
Real period |
R |
1.4290133534311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12460d1 |
Quadratic twists by: -4 |