Atkin-Lehner |
2- 7- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51688f |
Isogeny class |
Conductor |
51688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17152 |
Modular degree for the optimal curve |
Δ |
-6106627072 = -1 · 210 · 7 · 132 · 712 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,205,-3586] |
[a1,a2,a3,a4,a6] |
j |
930433500/5963503 |
j-invariant |
L |
1.3413436241783 |
L(r)(E,1)/r! |
Ω |
0.67067181168948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103376e1 |
Quadratic twists by: -4 |