Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382p |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-55059642097269282 = -1 · 2 · 316 · 116 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-93132,-15696950] |
[a1,a2,a3,a4,a6] |
Generators |
[377:1445:1] |
Generators of the group modulo torsion |
j |
-69173457625/42633378 |
j-invariant |
L |
3.027368508604 |
L(r)(E,1)/r! |
Ω |
0.13292083375151 |
Real period |
R |
2.8469657682324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794y2 342b2 |
Quadratic twists by: -3 -11 |