Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518cc |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-3954975418944 = -1 · 26 · 312 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1759,90929] |
[a1,a2,a3,a4,a6] |
Generators |
[51:532:1] |
Generators of the group modulo torsion |
j |
6827155247/44836416 |
j-invariant |
L |
11.338838232492 |
L(r)(E,1)/r! |
Ω |
0.56832685650138 |
Real period |
R |
0.83130259922767 |
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 |
22506t1 67518y1 |
Quadratic twists by: -3 -11 |