Atkin-Lehner |
2+ 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270t |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
176998076758800 = 24 · 33 · 52 · 117 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14039,-14038] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:748:1] |
Generators of the group modulo torsion |
j |
172715635009/99910800 |
j-invariant |
L |
5.7769242259338 |
L(r)(E,1)/r! |
Ω |
0.48050839078152 |
Real period |
R |
0.50093854866703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570bc1 |
Quadratic twists by: -11 |