Atkin-Lehner |
2+ 5- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44950h |
Isogeny class |
Conductor |
44950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-274071387500000 = -1 · 25 · 58 · 294 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- 3 3 3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17242,1184916] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:1153:1] |
Generators of the group modulo torsion |
j |
-1451245105305/701622752 |
j-invariant |
L |
4.6090073140505 |
L(r)(E,1)/r! |
Ω |
0.51312777863931 |
Real period |
R |
0.74851520191609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44950n1 |
Quadratic twists by: 5 |