Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200d |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
3404800 = 210 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -1 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-168,-892] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:2:1] [34:184:1] |
Generators of the group modulo torsion |
j |
20606020/133 |
j-invariant |
L |
10.815424215165 |
L(r)(E,1)/r! |
Ω |
1.3259461983976 |
Real period |
R |
2.0391898683811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26600x1 53200be1 |
Quadratic twists by: -4 5 |