Atkin-Lehner |
2+ 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
117056d |
Isogeny class |
Conductor |
117056 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
-194223943126016 = -1 · 210 · 314 · 593 |
Discriminant |
Eigenvalues |
2+ -1 1 3 4 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1715,-670531] |
[a1,a2,a3,a4,a6] |
j |
544456103936/189671819459 |
j-invariant |
L |
3.1866829148512 |
L(r)(E,1)/r! |
Ω |
0.26555688395328 |
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 |
117056q1 14632c1 |
Quadratic twists by: -4 8 |