Atkin-Lehner |
2- 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
4944l |
Isogeny class |
Conductor |
4944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-663572447232 = -1 · 231 · 3 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 2 3 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45112,3673172] |
[a1,a2,a3,a4,a6] |
j |
-2478846508717753/162004992 |
j-invariant |
L |
3.4500948886476 |
L(r)(E,1)/r! |
Ω |
0.86252372216189 |
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 |
618b1 19776y1 14832p1 123600w1 |
Quadratic twists by: -4 8 -3 5 |