Atkin-Lehner |
11- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87373d |
Isogeny class |
Conductor |
87373 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-14191682458811 = -1 · 113 · 136 · 472 |
Discriminant |
Eigenvalues |
-2 -1 -3 -4 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,6028,18150] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-930:1] [8:258:1] |
Generators of the group modulo torsion |
j |
5017776128/2940179 |
j-invariant |
L |
2.9274808290048 |
L(r)(E,1)/r! |
Ω |
0.42666454337969 |
Real period |
R |
0.57177644473844 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
517a1 |
Quadratic twists by: 13 |