Atkin-Lehner |
2- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85904y |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
2530944 |
Modular degree for the optimal curve |
Δ |
-1.4367189853628E+20 |
Discriminant |
Eigenvalues |
2- 1 -2 7- -5 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2590224,-1705904620] |
[a1,a2,a3,a4,a6] |
Generators |
[2002:33712:1] [2443:80948:1] |
Generators of the group modulo torsion |
j |
-469219336443179811217/35076147103583768 |
j-invariant |
L |
11.17660456173 |
L(r)(E,1)/r! |
Ω |
0.059247962112552 |
Real period |
R |
1.8138573501082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10738f1 |
Quadratic twists by: -4 |