Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
74060d |
Isogeny class |
Conductor |
74060 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18703872 |
Modular degree for the optimal curve |
Δ |
-2.2064120102922E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 6 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1392756666,-20006497323991] |
[a1,a2,a3,a4,a6] |
Generators |
[156937:60221917:1] |
Generators of the group modulo torsion |
j |
-126142795384287538429696/9315359375 |
j-invariant |
L |
6.5950693454252 |
L(r)(E,1)/r! |
Ω |
0.012356650057325 |
Real period |
R |
11.119298304803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3220c1 |
Quadratic twists by: -23 |