Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200a |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
22111250000 = 24 · 57 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1883,31262] |
[a1,a2,a3,a4,a6] |
Generators |
[266:525:8] |
Generators of the group modulo torsion |
j |
2955053056/88445 |
j-invariant |
L |
8.4808606462667 |
L(r)(E,1)/r! |
Ω |
1.2010560463562 |
Real period |
R |
1.765292442418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26600h1 10640g1 |
Quadratic twists by: -4 5 |