Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150dv |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
428544 |
Modular degree for the optimal curve |
Δ |
-166180075267500 = -1 · 22 · 39 · 54 · 72 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4055,629147] |
[a1,a2,a3,a4,a6] |
Generators |
[15:748:1] |
Generators of the group modulo torsion |
j |
-16180365625/364729932 |
j-invariant |
L |
12.746967372271 |
L(r)(E,1)/r! |
Ω |
0.48133793797772 |
Real period |
R |
1.6551478722003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999961262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43050bd1 129150q1 |
Quadratic twists by: -3 5 |