Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920bk |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-275029776987586560 = -1 · 237 · 38 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200523,-42791942] |
[a1,a2,a3,a4,a6] |
Generators |
[43756757:292600458:79507] |
Generators of the group modulo torsion |
j |
-298626824461321/92106915840 |
j-invariant |
L |
5.5268402354638 |
L(r)(E,1)/r! |
Ω |
0.11104949598189 |
Real period |
R |
12.442290229675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5490s1 14640bg1 |
Quadratic twists by: -4 -3 |