Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21420i |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-229490678995200 = -1 · 28 · 316 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15297,-30602] |
[a1,a2,a3,a4,a6] |
Generators |
[86:1386:1] |
Generators of the group modulo torsion |
j |
2121167764784/1229695425 |
j-invariant |
L |
4.1181053757985 |
L(r)(E,1)/r! |
Ω |
0.33154275858872 |
Real period |
R |
3.1052596302571 |
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 |
85680ed2 7140m2 107100bp2 |
Quadratic twists by: -4 -3 5 |