Atkin-Lehner |
2+ 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111910g |
Isogeny class |
Conductor |
111910 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-79511406817280 = -1 · 212 · 5 · 194 · 313 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -6 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5407,401236] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1419:1] |
Generators of the group modulo torsion |
j |
134181880199/610119680 |
j-invariant |
L |
7.2885211037414 |
L(r)(E,1)/r! |
Ω |
0.43701912715901 |
Real period |
R |
0.92654489069445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111910n2 |
Quadratic twists by: -19 |