Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352ce |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
25147584 = 26 · 36 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,-380] |
[a1,a2,a3,a4,a6] |
Generators |
[12:4:1] |
Generators of the group modulo torsion |
j |
3241792/539 |
j-invariant |
L |
4.288206797472 |
L(r)(E,1)/r! |
Ω |
1.4874643395227 |
Real period |
R |
2.8828972120818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352bq1 22176y2 4928q1 |
Quadratic twists by: -4 8 -3 |