Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488bn |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-71912448 = -1 · 210 · 35 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 -4 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,91,267] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:9:1] [3:24:1] |
Generators of the group modulo torsion |
j |
278528/243 |
j-invariant |
L |
9.3936308234896 |
L(r)(E,1)/r! |
Ω |
1.2647563253069 |
Real period |
R |
0.74272258106439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488cs1 3468c1 55488t1 |
Quadratic twists by: -4 8 17 |