Atkin-Lehner |
2+ 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
56650a |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-389468750000 = -1 · 24 · 59 · 112 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 11+ 0 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1599,-17052] |
[a1,a2,a3,a4,a6] |
Generators |
[72:651:1] |
Generators of the group modulo torsion |
j |
28962726911/24926000 |
j-invariant |
L |
4.6007649362358 |
L(r)(E,1)/r! |
Ω |
0.52359903654551 |
Real period |
R |
0.54917558750329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330h1 |
Quadratic twists by: 5 |