Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ic |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10173463962009600 = -1 · 214 · 3 · 52 · 73 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10801,4868399] |
[a1,a2,a3,a4,a6] |
Generators |
[-883150:4995309:4913] |
Generators of the group modulo torsion |
j |
-8506205668816/620938962525 |
j-invariant |
L |
7.6573261319655 |
L(r)(E,1)/r! |
Ω |
0.33573915011258 |
Real period |
R |
11.403683688885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240u4 28560cq4 |
Quadratic twists by: -4 8 |