Atkin-Lehner |
2+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800bl |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
2120000 = 26 · 54 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5- -3 5 6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-13] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:69:64] |
Generators of the group modulo torsion |
j |
102400/53 |
j-invariant |
L |
9.466844120589 |
L(r)(E,1)/r! |
Ω |
2.1020998172604 |
Real period |
R |
4.5035178794897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800cr1 1325e1 84800k1 |
Quadratic twists by: -4 8 5 |