Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800bw |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1356800000000 = -1 · 216 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 0 1 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4033,112063] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:400:1] |
Generators of the group modulo torsion |
j |
-7086244/1325 |
j-invariant |
L |
8.4760674103896 |
L(r)(E,1)/r! |
Ω |
0.82208398288522 |
Real period |
R |
1.2888080153258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800s1 21200b1 16960l1 |
Quadratic twists by: -4 8 5 |