Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
49800v |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
24900000000 = 28 · 3 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1908,31812] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:250:1] |
Generators of the group modulo torsion |
j |
192143824/6225 |
j-invariant |
L |
3.9834033561344 |
L(r)(E,1)/r! |
Ω |
1.1879418397849 |
Real period |
R |
0.83829932213572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99600r1 9960b1 |
Quadratic twists by: -4 5 |