Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352et |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-994085604965376 = -1 · 210 · 37 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59772,5825608] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:3087:1] |
Generators of the group modulo torsion |
j |
-31636584484096/1331669031 |
j-invariant |
L |
6.9704202155295 |
L(r)(E,1)/r! |
Ω |
0.48990524691053 |
Real period |
R |
0.39522496439009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352s1 11088t1 14784cj1 |
Quadratic twists by: -4 8 -3 |