Atkin-Lehner |
2- 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
101184s |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
655244918784 = 218 · 32 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2369,-20511] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:93:1] [55:112:1] |
Generators of the group modulo torsion |
j |
5611284433/2499561 |
j-invariant |
L |
8.627922413432 |
L(r)(E,1)/r! |
Ω |
0.71321191853371 |
Real period |
R |
6.0486386937062 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987497 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101184o2 25296m2 |
Quadratic twists by: -4 8 |