Atkin-Lehner |
2- 3- 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150cj |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1127311020000 = -1 · 25 · 38 · 54 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-363,-51183] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1419:1] |
Generators of the group modulo torsion |
j |
-8465221825/1803697632 |
j-invariant |
L |
15.830314175388 |
L(r)(E,1)/r! |
Ω |
0.38792131242647 |
Real period |
R |
0.17003356171939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150h1 |
Quadratic twists by: 5 |