Atkin-Lehner |
2- 3+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13566o |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
120384 |
Modular degree for the optimal curve |
Δ |
-1793961422088192 = -1 · 211 · 318 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 4 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10174,-1994929] |
[a1,a2,a3,a4,a6] |
j |
116465218041507551/1793961422088192 |
j-invariant |
L |
5.0565544989247 |
L(r)(E,1)/r! |
Ω |
0.22984338631476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108528bd1 40698v1 94962cf1 |
Quadratic twists by: -4 -3 -7 |