Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370cy |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1181920410 = -1 · 2 · 37 · 5 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-771,-8469] |
[a1,a2,a3,a4,a6] |
Generators |
[294:771:8] |
Generators of the group modulo torsion |
j |
-10317519233/240570 |
j-invariant |
L |
13.017519229107 |
L(r)(E,1)/r! |
Ω |
0.45238086514383 |
Real period |
R |
2.0553981714285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95370cs1 |
Quadratic twists by: 17 |