Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
22176f |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
9881265328704 = 26 · 312 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5421,-26980] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:126:1] |
Generators of the group modulo torsion |
j |
377619516352/211789809 |
j-invariant |
L |
4.1894008382879 |
L(r)(E,1)/r! |
Ω |
0.59816984689036 |
Real period |
R |
1.7509244489951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22176p1 44352cm2 7392l1 |
Quadratic twists by: -4 8 -3 |