Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22968n |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
53775988992 = 28 · 33 · 11 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3375,-74638] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:14:1] |
Generators of the group modulo torsion |
j |
615093750000/7780091 |
j-invariant |
L |
5.7674277254874 |
L(r)(E,1)/r! |
Ω |
0.62684963200346 |
Real period |
R |
2.3001639591995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45936b1 22968b1 |
Quadratic twists by: -4 -3 |