Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950co |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-45983952000 = -1 · 27 · 32 · 53 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-168,10281] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:107:1] |
Generators of the group modulo torsion |
j |
-4196653397/367871616 |
j-invariant |
L |
7.4078668184846 |
L(r)(E,1)/r! |
Ω |
0.93424235044215 |
Real period |
R |
0.056637696195965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850dl1 19950bg1 |
Quadratic twists by: -3 5 |