Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480b |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
14796800000 = 214 · 55 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -1 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1088,-12512] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:235:8] |
Generators of the group modulo torsion |
j |
30081024/3125 |
j-invariant |
L |
3.8149035559707 |
L(r)(E,1)/r! |
Ω |
0.83684946519481 |
Real period |
R |
4.5586496858671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480cx1 5780c1 92480ch1 |
Quadratic twists by: -4 8 17 |