Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352fb |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1232231616 = -1 · 26 · 36 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-174,-1906] |
[a1,a2,a3,a4,a6] |
Generators |
[17:7:1] |
Generators of the group modulo torsion |
j |
-12487168/26411 |
j-invariant |
L |
4.4580206871228 |
L(r)(E,1)/r! |
Ω |
0.61625786230122 |
Real period |
R |
1.8085045886777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352dq1 22176v1 4928bd1 |
Quadratic twists by: -4 8 -3 |