Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83391g |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-419916323072892723 = -1 · 3 · 76 · 113 · 197 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 11+ -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1001173,387169956] |
[a1,a2,a3,a4,a6] |
Generators |
[564:-1264:1] |
Generators of the group modulo torsion |
j |
-2359010787328000/8925676683 |
j-invariant |
L |
3.1485116553077 |
L(r)(E,1)/r! |
Ω |
0.29989829734054 |
Real period |
R |
0.4374415825082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999998915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389h2 |
Quadratic twists by: -19 |