Atkin-Lehner |
2+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70642b |
Isogeny class |
Conductor |
70642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
4035212324 = 22 · 11 · 136 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 11+ 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-623,5305] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:86:1] |
Generators of the group modulo torsion |
j |
5545233/836 |
j-invariant |
L |
2.014729947978 |
L(r)(E,1)/r! |
Ω |
1.3326120179498 |
Real period |
R |
0.75593268003754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
418a1 |
Quadratic twists by: 13 |