Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890cb |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-249597251463168000 = -1 · 214 · 36 · 53 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 2 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-454239,120375373] |
[a1,a2,a3,a4,a6] |
Generators |
[542:5489:1] |
Generators of the group modulo torsion |
j |
-2466412193329/59392000 |
j-invariant |
L |
5.8852546275963 |
L(r)(E,1)/r! |
Ω |
0.31131632707687 |
Real period |
R |
1.5753683430529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210m1 127890bh1 |
Quadratic twists by: -3 -7 |