Atkin-Lehner |
2- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56144n |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
21413882874712064 = 212 · 118 · 293 |
Discriminant |
Eigenvalues |
2- -2 -2 -1 11- 7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1015109,393255091] |
[a1,a2,a3,a4,a6] |
Generators |
[766:8107:1] |
Generators of the group modulo torsion |
j |
131753070592/24389 |
j-invariant |
L |
3.2244171560665 |
L(r)(E,1)/r! |
Ω |
0.37109816188454 |
Real period |
R |
2.8962841347822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3509b1 56144t1 |
Quadratic twists by: -4 -11 |