Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240cq |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-2.6815972065638E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -4 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,274128,-242944864] |
[a1,a2,a3,a4,a6] |
Generators |
[1177:41355:1] |
Generators of the group modulo torsion |
j |
190737654201344/2245153696875 |
j-invariant |
L |
5.1950453498092 |
L(r)(E,1)/r! |
Ω |
0.10378421180311 |
Real period |
R |
5.0056220106271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240ga1 8280f1 22080k1 |
Quadratic twists by: -4 8 -3 |