Atkin-Lehner |
2+ 3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256b |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
1229769361836288 = 28 · 37 · 7 · 13 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59788,5387968] |
[a1,a2,a3,a4,a6] |
Generators |
[22105:70044:125] |
Generators of the group modulo torsion |
j |
92327927767234000/4803786569673 |
j-invariant |
L |
3.9816736727546 |
L(r)(E,1)/r! |
Ω |
0.47889541507327 |
Real period |
R |
8.3142864734986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128k1 |
Quadratic twists by: -4 |