Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480dw |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-268919552737280 = -1 · 217 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 1 5- 2 -4 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,788863] |
[a1,a2,a3,a4,a6] |
Generators |
[-1131:23120:27] |
Generators of the group modulo torsion |
j |
-2/85 |
j-invariant |
L |
8.6982152321519 |
L(r)(E,1)/r! |
Ω |
0.43962774035304 |
Real period |
R |
2.4731762911743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480bw1 23120b1 5440r1 |
Quadratic twists by: -4 8 17 |