Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630x |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-111284008619760 = -1 · 24 · 33 · 5 · 616 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5504,483056] |
[a1,a2,a3,a4,a6] |
Generators |
[2516:54557:64] |
Generators of the group modulo torsion |
j |
357911/2160 |
j-invariant |
L |
14.739354289669 |
L(r)(E,1)/r! |
Ω |
0.42917299680978 |
Real period |
R |
2.8619683174954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30a1 |
Quadratic twists by: 61 |