Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16720ba |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
41433497600 = 216 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8536,300564] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:770:1] [-121732:1710970:2197] |
Generators of the group modulo torsion |
j |
16794916941529/10115600 |
j-invariant |
L |
4.6613879481646 |
L(r)(E,1)/r! |
Ω |
1.1321996784093 |
Real period |
R |
0.68618460698766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2090b1 66880cy1 83600cb1 |
Quadratic twists by: -4 8 5 |