Atkin-Lehner |
2+ 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650d |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432000 |
Modular degree for the optimal curve |
Δ |
4.1248667318504E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-271884525,-1722883579875] |
[a1,a2,a3,a4,a6] |
Generators |
[74466136844057515057296648364462:-50146373786782673029158384504116055:164233215962203785338456243] |
Generators of the group modulo torsion |
j |
142251598903441575328271569/263991470838423552000 |
j-invariant |
L |
3.4614008527179 |
L(r)(E,1)/r! |
Ω |
0.037183635320992 |
Real period |
R |
46.54468051335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130bc1 |
Quadratic twists by: 5 |