Atkin-Lehner |
7+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44891b |
Isogeny class |
Conductor |
44891 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1995840 |
Modular degree for the optimal curve |
Δ |
-3.3822650230734E+20 |
Discriminant |
Eigenvalues |
1 -2 -1 7+ 11+ -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18778719,31332754583] |
[a1,a2,a3,a4,a6] |
Generators |
[5646:1083269:8] [1859:52441:1] |
Generators of the group modulo torsion |
j |
-310589952572294459/143441054099 |
j-invariant |
L |
6.9824469262729 |
L(r)(E,1)/r! |
Ω |
0.16838326748472 |
Real period |
R |
4.1467581848094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44891h1 |
Quadratic twists by: -11 |