Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080dd |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
5140358512640 = 214 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13745,615185] |
[a1,a2,a3,a4,a6] |
Generators |
[-303:23660:27] |
Generators of the group modulo torsion |
j |
3631696/65 |
j-invariant |
L |
9.4156735781081 |
L(r)(E,1)/r! |
Ω |
0.76695513343199 |
Real period |
R |
3.0691735303858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080bp1 13520e1 4160m1 |
Quadratic twists by: -4 8 13 |