Atkin-Lehner |
2- 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
49608q |
Isogeny class |
Conductor |
49608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
17656181712 = 24 · 36 · 134 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-666,1701] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:91:1] [-2:55:1] |
Generators of the group modulo torsion |
j |
2800908288/1513733 |
j-invariant |
L |
8.5112151223941 |
L(r)(E,1)/r! |
Ω |
1.0730743434408 |
Real period |
R |
1.982904347313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99216p1 5512b1 |
Quadratic twists by: -4 -3 |