Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352dl |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
21032232173568 = 214 · 39 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21131004,-37387662352] |
[a1,a2,a3,a4,a6] |
Generators |
[64927643:518007987:12167] |
Generators of the group modulo torsion |
j |
87364831012240243408/1760913 |
j-invariant |
L |
6.9635234659952 |
L(r)(E,1)/r! |
Ω |
0.070415703351806 |
Real period |
R |
12.361453366456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352co1 11088p1 14784bv1 |
Quadratic twists by: -4 8 -3 |