Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12650ba |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-663224320000 = -1 · 222 · 54 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11- 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4930,140097] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1215:1] |
Generators of the group modulo torsion |
j |
-21198340490625/1061158912 |
j-invariant |
L |
7.2864194364406 |
L(r)(E,1)/r! |
Ω |
0.89860233907231 |
Real period |
R |
0.12285778668849 |
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 |
101200cb1 113850ch1 12650h1 |
Quadratic twists by: -4 -3 5 |