Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21420j |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-23128693937153280 = -1 · 28 · 312 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41577,6549118] |
[a1,a2,a3,a4,a6] |
Generators |
[3998:253134:1] |
Generators of the group modulo torsion |
j |
42590787180464/123932044845 |
j-invariant |
L |
4.6095257794734 |
L(r)(E,1)/r! |
Ω |
0.26747165933257 |
Real period |
R |
4.3084244803502 |
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 |
85680ee2 7140n2 107100bq2 |
Quadratic twists by: -4 -3 5 |