Atkin-Lehner |
2+ 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53680a |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
22512050000 = 24 · 55 · 112 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-818,5383] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:957:8] |
Generators of the group modulo torsion |
j |
3783237801984/1407003125 |
j-invariant |
L |
4.2582841382071 |
L(r)(E,1)/r! |
Ω |
1.1009097620928 |
Real period |
R |
3.8679683702501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26840a1 |
Quadratic twists by: -4 |