Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200s |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
851200 = 28 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 -3 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,28] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:4:1] |
Generators of the group modulo torsion |
j |
393040/133 |
j-invariant |
L |
7.5532003198562 |
L(r)(E,1)/r! |
Ω |
2.5904169180968 |
Real period |
R |
1.4579120965231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26600u1 53200x1 |
Quadratic twists by: -4 5 |