Atkin-Lehner |
3+ 7- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109557a |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
11261254473 = 39 · 7 · 37 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-569,-944] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:34:1] [2550:22574:27] |
Generators of the group modulo torsion |
j |
1033364331/572131 |
j-invariant |
L |
8.8056547549744 |
L(r)(E,1)/r! |
Ω |
1.047240446873 |
Real period |
R |
8.4084364575467 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109557d1 |
Quadratic twists by: -3 |