Atkin-Lehner |
3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44649i |
Isogeny class |
Conductor |
44649 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-4359857110587 = -1 · 311 · 114 · 412 |
Discriminant |
Eigenvalues |
0 3- 4 3 11- 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16698,-836564] |
[a1,a2,a3,a4,a6] |
Generators |
[27020:297167:125] |
Generators of the group modulo torsion |
j |
-48241278976/408483 |
j-invariant |
L |
7.6618903457364 |
L(r)(E,1)/r! |
Ω |
0.20988624351336 |
Real period |
R |
4.5631208467246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14883d1 44649m1 |
Quadratic twists by: -3 -11 |