Atkin-Lehner |
2+ 5- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44950d |
Isogeny class |
Conductor |
44950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
261600 |
Modular degree for the optimal curve |
Δ |
-9935087796875000 = -1 · 23 · 59 · 295 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 2 -4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16174,-4728452] |
[a1,a2,a3,a4,a6] |
Generators |
[1243270358:-7907656:9129329] |
Generators of the group modulo torsion |
j |
239598771931/5086764952 |
j-invariant |
L |
5.4897349588721 |
L(r)(E,1)/r! |
Ω |
0.19801750465761 |
Real period |
R |
13.861741587833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44950r1 |
Quadratic twists by: 5 |