Atkin-Lehner |
2- 7- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
128674y |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
199808 |
Modular degree for the optimal curve |
Δ |
-105968571982 = -1 · 2 · 79 · 13 · 101 |
Discriminant |
Eigenvalues |
2- -2 2 7- 2 13- 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,293,15567] |
[a1,a2,a3,a4,a6] |
j |
68921/2626 |
j-invariant |
L |
1.6013691577556 |
L(r)(E,1)/r! |
Ω |
0.80068585037736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128674r1 |
Quadratic twists by: -7 |