Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352ex |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-3696694848 = -1 · 26 · 37 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,249,2504] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:38:1] |
Generators of the group modulo torsion |
j |
36594368/79233 |
j-invariant |
L |
5.9552406009905 |
L(r)(E,1)/r! |
Ω |
0.97147142742995 |
Real period |
R |
3.0650621484306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352dm1 22176t2 14784by1 |
Quadratic twists by: -4 8 -3 |