Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440ba |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-4305920713189326000 = -1 · 24 · 326 · 53 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,140478,97758439] |
[a1,a2,a3,a4,a6] |
Generators |
[423:15260:1] |
Generators of the group modulo torsion |
j |
26284586405881856/369163298455875 |
j-invariant |
L |
6.2742976660394 |
L(r)(E,1)/r! |
Ω |
0.18224979098503 |
Real period |
R |
5.7378188036074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720w1 18480s1 |
Quadratic twists by: -4 -3 |