Atkin-Lehner |
2+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
112064c |
Isogeny class |
Conductor |
112064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44032 |
Modular degree for the optimal curve |
Δ |
738725888 = 212 · 17 · 1032 |
Discriminant |
Eigenvalues |
2+ 2 2 2 -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-297,1577] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1692:1] |
Generators of the group modulo torsion |
j |
709732288/180353 |
j-invariant |
L |
12.896849169333 |
L(r)(E,1)/r! |
Ω |
1.5001141735097 |
Real period |
R |
4.2986225305121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112064e1 56032a1 |
Quadratic twists by: -4 8 |