Atkin-Lehner |
2- 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
112064o |
Isogeny class |
Conductor |
112064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-35236507648 = -1 · 212 · 174 · 103 |
Discriminant |
Eigenvalues |
2- -2 0 0 -2 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-633,-11129] |
[a1,a2,a3,a4,a6] |
Generators |
[35:104:1] [65:476:1] |
Generators of the group modulo torsion |
j |
-6859000000/8602663 |
j-invariant |
L |
8.3808276474535 |
L(r)(E,1)/r! |
Ω |
0.45434107882287 |
Real period |
R |
4.611528674094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999954797 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112064n1 56032c1 |
Quadratic twists by: -4 8 |