Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352ew |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2294018725103271936 = 221 · 36 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-347724,30306960] |
[a1,a2,a3,a4,a6] |
Generators |
[562:3520:1] |
Generators of the group modulo torsion |
j |
24331017010833/12004097336 |
j-invariant |
L |
7.0690663794293 |
L(r)(E,1)/r! |
Ω |
0.22992380904269 |
Real period |
R |
1.9215785026951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352x3 11088br4 4928bb3 |
Quadratic twists by: -4 8 -3 |