Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21658p |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5096084084 = 22 · 78 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11319916,14662118811] |
[a1,a2,a3,a4,a6] |
Generators |
[10873:1079423:1] |
Generators of the group modulo torsion |
j |
1363531101852339510273/43316 |
j-invariant |
L |
6.8296518452528 |
L(r)(E,1)/r! |
Ω |
0.49762972695474 |
Real period |
R |
6.8621823369025 |
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 |
3094e3 |
Quadratic twists by: -7 |