Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22968o |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-23478073344 = -1 · 211 · 33 · 114 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 11- 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,549,5462] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:66:1] |
Generators of the group modulo torsion |
j |
330938298/424589 |
j-invariant |
L |
6.6418439457249 |
L(r)(E,1)/r! |
Ω |
0.80674331631965 |
Real period |
R |
1.029113568617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45936c1 22968c1 |
Quadratic twists by: -4 -3 |