Atkin-Lehner |
2- 3- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
128592f |
Isogeny class |
Conductor |
128592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-16041566011392 = -1 · 219 · 36 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5445,-114966] |
[a1,a2,a3,a4,a6] |
Generators |
[1407:15040:27] |
Generators of the group modulo torsion |
j |
5979018375/5372288 |
j-invariant |
L |
7.1326507828745 |
L(r)(E,1)/r! |
Ω |
0.38254844030145 |
Real period |
R |
2.3306364569802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16074h1 14288a1 |
Quadratic twists by: -4 -3 |