Atkin-Lehner |
2+ 7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
11242d |
Isogeny class |
Conductor |
11242 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-70509824 = -1 · 28 · 73 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-252652,48858922] |
[a1,a2,a3,a4,a6] |
Generators |
[225945:317807:729] |
Generators of the group modulo torsion |
j |
-1783567140616110895417/70509824 |
j-invariant |
L |
4.7864484699456 |
L(r)(E,1)/r! |
Ω |
1.0459434487424 |
Real period |
R |
6.8643029539989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89936q1 101178bx1 78694d1 123662v1 |
Quadratic twists by: -4 -3 -7 -11 |