Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890v |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
27955200 |
Modular degree for the optimal curve |
Δ |
-8.3040535219753E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 7 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-158760744,770002668000] |
[a1,a2,a3,a4,a6] |
Generators |
[7191:-16458:1] |
Generators of the group modulo torsion |
j |
-406169179642232404749/7621562500000 |
j-invariant |
L |
5.3093041440894 |
L(r)(E,1)/r! |
Ω |
0.12043186542208 |
Real period |
R |
1.1021385553166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890dq1 127890k1 |
Quadratic twists by: -3 -7 |