Atkin-Lehner |
2- 5+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44950k |
Isogeny class |
Conductor |
44950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-40410050 = -1 · 2 · 52 · 292 · 312 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -1 0 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,67,227] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:117:8] |
Generators of the group modulo torsion |
j |
1329238535/1616402 |
j-invariant |
L |
11.096983492357 |
L(r)(E,1)/r! |
Ω |
1.3657942254013 |
Real period |
R |
2.0312326860721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44950e1 |
Quadratic twists by: 5 |