Atkin-Lehner |
2- 3+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
4794d |
Isogeny class |
Conductor |
4794 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
900176053248 = 210 · 34 · 173 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8792,-317671] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:61:1] |
Generators of the group modulo torsion |
j |
75160530649878913/900176053248 |
j-invariant |
L |
5.3242636719684 |
L(r)(E,1)/r! |
Ω |
0.49339171899417 |
Real period |
R |
1.0791149237005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38352o1 14382f1 119850ba1 81498y1 |
Quadratic twists by: -4 -3 5 17 |