Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200cm |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-2.8342823978291E+21 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 7 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3505992,-418724012] |
[a1,a2,a3,a4,a6] |
Generators |
[518:39200:1] |
Generators of the group modulo torsion |
j |
74469146542554959/44285662466080 |
j-invariant |
L |
4.3762568147596 |
L(r)(E,1)/r! |
Ω |
0.083672469431074 |
Real period |
R |
0.36320993669517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650d2 10640v2 |
Quadratic twists by: -4 5 |