Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288ba |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-840387468468438016 = -1 · 210 · 76 · 178 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,221856,-18025904] |
[a1,a2,a3,a4,a6] |
Generators |
[440:12844:1] |
Generators of the group modulo torsion |
j |
415292/289 |
j-invariant |
L |
3.5605563054064 |
L(r)(E,1)/r! |
Ω |
0.15918760282214 |
Real period |
R |
5.5917613910561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998309928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2312c2 6664d2 |
Quadratic twists by: -7 17 |