Atkin-Lehner |
2+ 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
103320l |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-6699184850020320000 = -1 · 28 · 311 · 54 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 0 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,114612,123629812] |
[a1,a2,a3,a4,a6] |
Generators |
[486:17150:1] [-298:7938:1] |
Generators of the group modulo torsion |
j |
892167691418624/35896695226875 |
j-invariant |
L |
11.591526576659 |
L(r)(E,1)/r! |
Ω |
0.17938439495256 |
Real period |
R |
0.25241549414493 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34440y1 |
Quadratic twists by: -3 |