Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88920g |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
92224523289600 = 210 · 310 · 52 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29883,-1933882] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:144:1] |
Generators of the group modulo torsion |
j |
3953382282724/123543225 |
j-invariant |
L |
3.4067343808644 |
L(r)(E,1)/r! |
Ω |
0.36380981612608 |
Real period |
R |
2.3410132342425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010774 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29640p2 |
Quadratic twists by: -3 |