Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446z |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-2360509536 = -1 · 25 · 3 · 76 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-320,3182] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:78:1] |
Generators of the group modulo torsion |
j |
-30664297/20064 |
j-invariant |
L |
3.6473762783454 |
L(r)(E,1)/r! |
Ω |
1.3426478071353 |
Real period |
R |
1.3582773750776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1254b1 |
Quadratic twists by: -7 |