Atkin-Lehner |
2- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
44954t |
Isogeny class |
Conductor |
44954 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-266741492048991232 = -1 · 210 · 75 · 138 · 19 |
Discriminant |
Eigenvalues |
2- 2 0 7+ -2 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-668483,-212110943] |
[a1,a2,a3,a4,a6] |
Generators |
[22421379:20420828536:27] |
Generators of the group modulo torsion |
j |
-40499348436625/326996992 |
j-invariant |
L |
12.686315447664 |
L(r)(E,1)/r! |
Ω |
0.083442563503125 |
Real period |
R |
15.203650169725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44954i1 |
Quadratic twists by: 13 |