Atkin-Lehner |
2- 3- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
40248u |
Isogeny class |
Conductor |
40248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
78553223919166464 = 210 · 37 · 138 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110451,4217150] |
[a1,a2,a3,a4,a6] |
Generators |
[326:1690:1] |
Generators of the group modulo torsion |
j |
199620520602052/105229263009 |
j-invariant |
L |
5.3964187953471 |
L(r)(E,1)/r! |
Ω |
0.30123258916324 |
Real period |
R |
2.2393073448399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80496q3 13416a4 |
Quadratic twists by: -4 -3 |