Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544cp |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-1.1229792850177E+19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 3 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,62196,-161118736] |
[a1,a2,a3,a4,a6] |
Generators |
[808:20412:1] [5182:373248:1] |
Generators of the group modulo torsion |
j |
139233463487/58763045376 |
j-invariant |
L |
9.2405932966715 |
L(r)(E,1)/r! |
Ω |
0.10634397851024 |
Real period |
R |
1.810279839496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544ed1 2142j1 22848o1 |
Quadratic twists by: -4 8 -3 |