Atkin-Lehner |
2+ 3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45240g |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
125948160 = 28 · 32 · 5 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156,-576] |
[a1,a2,a3,a4,a6] |
Generators |
[32:168:1] |
Generators of the group modulo torsion |
j |
1650587344/491985 |
j-invariant |
L |
8.2123839880147 |
L(r)(E,1)/r! |
Ω |
1.381214225054 |
Real period |
R |
2.9728856824106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480d1 |
Quadratic twists by: -4 |