Atkin-Lehner |
3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44109w |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-465624805661847 = -1 · 39 · 138 · 29 |
Discriminant |
Eigenvalues |
-1 3- 0 0 -4 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18220,-430842] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1554:1] |
Generators of the group modulo torsion |
j |
190109375/132327 |
j-invariant |
L |
2.4939007581454 |
L(r)(E,1)/r! |
Ω |
0.29734787277963 |
Real period |
R |
4.193574238216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999656 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14703a1 3393e1 |
Quadratic twists by: -3 13 |