Atkin-Lehner |
2+ 5- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44950g |
Isogeny class |
Conductor |
44950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
870906250000 = 24 · 59 · 29 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 4 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72742,-7533084] |
[a1,a2,a3,a4,a6] |
Generators |
[7588:656734:1] |
Generators of the group modulo torsion |
j |
21794792775237/445904 |
j-invariant |
L |
4.803304972561 |
L(r)(E,1)/r! |
Ω |
0.2907056673941 |
Real period |
R |
8.2614573971147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44950s1 |
Quadratic twists by: 5 |