Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890eg |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
deg |
11980800 |
Modular degree for the optimal curve |
Δ |
-5.1455218637812E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 5 -7 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29160137,60616620649] |
[a1,a2,a3,a4,a6] |
Generators |
[3397:-29104:1] |
Generators of the group modulo torsion |
j |
-406169179642232404749/7621562500000 |
j-invariant |
L |
13.196022816667 |
L(r)(E,1)/r! |
Ω |
0.18396271312714 |
Real period |
R |
0.11955341921246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890k1 127890dq1 |
Quadratic twists by: -3 -7 |