Atkin-Lehner |
2+ 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890c |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-300853829888640 = -1 · 27 · 39 · 5 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -1 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16455,186605] |
[a1,a2,a3,a4,a6] |
Generators |
[13:628:1] [23:748:1] |
Generators of the group modulo torsion |
j |
212776173/129920 |
j-invariant |
L |
8.5678559362945 |
L(r)(E,1)/r! |
Ω |
0.33613065276834 |
Real period |
R |
3.1862074536332 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000007392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890dy1 18270d1 |
Quadratic twists by: -3 -7 |