Atkin-Lehner |
2- 3+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562s |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.7560578163408E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 6 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9685263,-11429031555] |
[a1,a2,a3,a4,a6] |
Generators |
[-53205:109048:27] |
Generators of the group modulo torsion |
j |
847261900390625/14808072024 |
j-invariant |
L |
9.2449043290426 |
L(r)(E,1)/r! |
Ω |
0.085670686762524 |
Real period |
R |
8.9926755926944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000011846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74562bb2 |
Quadratic twists by: 17 |