Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800cn |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
1325000000 = 26 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 2 5- -1 -1 6 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1333,-18213] |
[a1,a2,a3,a4,a6] |
Generators |
[-14884584:1540773:681472] |
Generators of the group modulo torsion |
j |
10485760/53 |
j-invariant |
L |
9.047649759527 |
L(r)(E,1)/r! |
Ω |
0.79030913480094 |
Real period |
R |
11.448241396197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800bg1 21200ba1 84800cf1 |
Quadratic twists by: -4 8 5 |