Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552g |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1901684736 = -1 · 211 · 33 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -1 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8120,284364] |
[a1,a2,a3,a4,a6] |
j |
-5885299474/189 |
j-invariant |
L |
2.7621367949792 |
L(r)(E,1)/r! |
Ω |
1.3810683974289 |
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 |
97104o1 48552n1 |
Quadratic twists by: -4 17 |