Atkin-Lehner |
3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24843m |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
727272 |
Modular degree for the optimal curve |
Δ |
-9.255980501049E+19 |
Discriminant |
Eigenvalues |
0 3- 0 7+ -6 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2511903,-1601554678] |
[a1,a2,a3,a4,a6] |
j |
-372736000/19683 |
j-invariant |
L |
0.53799610258818 |
L(r)(E,1)/r! |
Ω |
0.059777344732027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74529k1 24843b1 24843l1 |
Quadratic twists by: -3 -7 13 |