Atkin-Lehner |
2- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
112064n |
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 |
[58:663:8] |
Generators of the group modulo torsion |
j |
-6859000000/8602663 |
j-invariant |
L |
11.390276284322 |
L(r)(E,1)/r! |
Ω |
1.0489431562895 |
Real period |
R |
2.7147029341834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024265 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112064o1 56032b1 |
Quadratic twists by: -4 8 |