Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424dc |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-80782597029888 = -1 · 225 · 33 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 1 3 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9953,-580449] |
[a1,a2,a3,a4,a6] |
j |
-415996269625/308161152 |
j-invariant |
L |
4.167186025959 |
L(r)(E,1)/r! |
Ω |
0.23151033478367 |
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 |
47424c1 11856s1 |
Quadratic twists by: -4 8 |