Atkin-Lehner |
2+ 5- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20470f |
Isogeny class |
Conductor |
20470 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
253760 |
Modular degree for the optimal curve |
Δ |
-117316511129600 = -1 · 213 · 52 · 235 · 89 |
Discriminant |
Eigenvalues |
2+ -3 5- -3 3 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-240889,45569773] |
[a1,a2,a3,a4,a6] |
Generators |
[237:1204:1] |
Generators of the group modulo torsion |
j |
-1545879480335621867241/117316511129600 |
j-invariant |
L |
2.151895175963 |
L(r)(E,1)/r! |
Ω |
0.56227576721169 |
Real period |
R |
0.38271170508276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102350r1 |
Quadratic twists by: 5 |