Atkin-Lehner |
2- 5- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44950t |
Isogeny class |
Conductor |
44950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
-3596000 = -1 · 25 · 53 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- 2 2 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-73,-263] |
[a1,a2,a3,a4,a6] |
Generators |
[12:19:1] |
Generators of the group modulo torsion |
j |
-344472101/28768 |
j-invariant |
L |
12.022162922785 |
L(r)(E,1)/r! |
Ω |
0.81271519746853 |
Real period |
R |
1.4792590270507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44950i1 |
Quadratic twists by: 5 |