Atkin-Lehner |
2- 3- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104880ck |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-41952000 = -1 · 28 · 3 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,-321] |
[a1,a2,a3,a4,a6] |
Generators |
[11:30:1] |
Generators of the group modulo torsion |
j |
-4194304/163875 |
j-invariant |
L |
3.7108862064761 |
L(r)(E,1)/r! |
Ω |
0.88830464170607 |
Real period |
R |
2.0887463743259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26220b1 |
Quadratic twists by: -4 |