Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200b |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
53200 = 24 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ -1 5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
276480/133 |
j-invariant |
L |
3.284550213145 |
L(r)(E,1)/r! |
Ω |
2.8163801177954 |
Real period |
R |
1.1662311462773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26600bd1 53200ba1 |
Quadratic twists by: -4 5 |