Atkin-Lehner |
2+ 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44850y |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-1.6213038708672E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4708776,-4384513802] |
[a1,a2,a3,a4,a6] |
Generators |
[3512:147906:1] |
Generators of the group modulo torsion |
j |
-738971428463935080049/103763447735500800 |
j-invariant |
L |
4.9138272111993 |
L(r)(E,1)/r! |
Ω |
0.050847696717573 |
Real period |
R |
4.0265894756938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970k1 |
Quadratic twists by: 5 |