Atkin-Lehner |
2+ 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710n |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-21394394334720000 = -1 · 212 · 39 · 54 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,68526,-1378220] |
[a1,a2,a3,a4,a6] |
Generators |
[141:3257:1] |
Generators of the group modulo torsion |
j |
48815614945382111/29347591680000 |
j-invariant |
L |
3.9661158280854 |
L(r)(E,1)/r! |
Ω |
0.22270337617005 |
Real period |
R |
2.2261201740028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570r1 |
Quadratic twists by: -3 |