Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550br |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
-4.11341317632E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2960433,9558239341] |
[a1,a2,a3,a4,a6] |
Generators |
[-1141:69083:1] |
Generators of the group modulo torsion |
j |
251907898698209879/3611226931200000 |
j-invariant |
L |
4.2391173709453 |
L(r)(E,1)/r! |
Ω |
0.084957421189244 |
Real period |
R |
3.1185602384832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850bl1 10710ba1 |
Quadratic twists by: -3 5 |