Atkin-Lehner |
3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24843l |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
55944 |
Modular degree for the optimal curve |
Δ |
-19176189696027 = -1 · 39 · 78 · 132 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 6 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14863,-733547] |
[a1,a2,a3,a4,a6] |
j |
-372736000/19683 |
j-invariant |
L |
1.9397725338816 |
L(r)(E,1)/r! |
Ω |
0.21553028154241 |
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 |
74529l1 24843a1 24843m1 |
Quadratic twists by: -3 -7 13 |