Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050cz |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
Δ |
9.24131758786E+18 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-640598,-132541788] |
[a1,a2,a3,a4,a6] |
Generators |
[-482:8260:1] |
Generators of the group modulo torsion |
j |
232578988155127076021/73930540702879872 |
j-invariant |
L |
11.898610504426 |
L(r)(E,1)/r! |
Ω |
0.17298684859759 |
Real period |
R |
0.24565472959807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61050s2 |
Quadratic twists by: 5 |