Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890ce |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10010112 |
Modular degree for the optimal curve |
Δ |
-6.5243964562995E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 7 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3435381,-3016862465] |
[a1,a2,a3,a4,a6] |
Generators |
[32209856063315:-2145569256320944:8805624625] |
Generators of the group modulo torsion |
j |
1066931459038991/1552488867810 |
j-invariant |
L |
6.26073490989 |
L(r)(E,1)/r! |
Ω |
0.070830054134809 |
Real period |
R |
22.097734451727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630cb1 127890bl1 |
Quadratic twists by: -3 -7 |