Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382bl |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-21047032827305496 = -1 · 23 · 39 · 117 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 11- 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,37366,-6411743] |
[a1,a2,a3,a4,a6] |
Generators |
[4051:256067:1] |
Generators of the group modulo torsion |
j |
165469149/603592 |
j-invariant |
L |
8.946110504443 |
L(r)(E,1)/r! |
Ω |
0.19482101165778 |
Real period |
R |
3.8266365745661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41382c1 3762b2 |
Quadratic twists by: -3 -11 |