Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890u |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
1439632584428062500 = 22 · 39 · 56 · 79 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-384414,-71201152] |
[a1,a2,a3,a4,a6] |
Generators |
[-313:4444:1] |
Generators of the group modulo torsion |
j |
2712953829123/621687500 |
j-invariant |
L |
3.3788813787829 |
L(r)(E,1)/r! |
Ω |
0.19489238806615 |
Real period |
R |
0.72238184584793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890dp1 18270a1 |
Quadratic twists by: -3 -7 |