Atkin-Lehner |
5+ 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88825l |
Isogeny class |
Conductor |
88825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1171965203857421875 = -1 · 514 · 112 · 174 · 19 |
Discriminant |
Eigenvalues |
1 0 5+ 0 11- -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,212458,-35999509] |
[a1,a2,a3,a4,a6] |
Generators |
[514:14193:1] |
Generators of the group modulo torsion |
j |
67876869278132559/75005773046875 |
j-invariant |
L |
5.3760685994017 |
L(r)(E,1)/r! |
Ω |
0.14795102287844 |
Real period |
R |
2.2710507897485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000013145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17765g4 |
Quadratic twists by: 5 |