Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
48216p |
Isogeny class |
Conductor |
48216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-1452176431104 = -1 · 211 · 3 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 0 -7 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2336,37612] |
[a1,a2,a3,a4,a6] |
j |
5848414/6027 |
j-invariant |
L |
1.1247377987539 |
L(r)(E,1)/r! |
Ω |
0.56236889924746 |
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 |
96432r1 6888c1 |
Quadratic twists by: -4 -7 |