Atkin-Lehner |
2- 5- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20470k |
Isogeny class |
Conductor |
20470 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-308550041600000 = -1 · 221 · 55 · 232 · 89 |
Discriminant |
Eigenvalues |
2- -1 5- -4 -5 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18700,1289517] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:1541:1] [32981315:272254567:493039] |
Generators of the group modulo torsion |
j |
-723185955235972801/308550041600000 |
j-invariant |
L |
8.5375482853404 |
L(r)(E,1)/r! |
Ω |
0.51015072219067 |
Real period |
R |
0.07969211855739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102350a1 |
Quadratic twists by: 5 |