Atkin-Lehner |
2- 3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115056ba |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
114823840923648 = 222 · 36 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114195,-14844206] |
[a1,a2,a3,a4,a6] |
j |
55154061924625/38454272 |
j-invariant |
L |
1.0388816498329 |
L(r)(E,1)/r! |
Ω |
0.25972033734854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14382h1 12784c1 |
Quadratic twists by: -4 -3 |