Atkin-Lehner |
2- 3+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
51660b |
Isogeny class |
Conductor |
51660 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
3177090000 = 24 · 33 · 54 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1032,12469] |
[a1,a2,a3,a4,a6] |
Generators |
[23:30:1] |
Generators of the group modulo torsion |
j |
281370820608/7354375 |
j-invariant |
L |
6.8075940729219 |
L(r)(E,1)/r! |
Ω |
1.4142230000986 |
Real period |
R |
1.2034159521588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51660a1 |
Quadratic twists by: -3 |