Atkin-Lehner |
2+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20482c |
Isogeny class |
Conductor |
20482 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1781548935778304 = -1 · 212 · 78 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ 11- -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16928,-1843922] |
[a1,a2,a3,a4,a6] |
Generators |
[89:563:1] |
Generators of the group modulo torsion |
j |
93066465863/309039104 |
j-invariant |
L |
5.369254356494 |
L(r)(E,1)/r! |
Ω |
0.24016408996599 |
Real period |
R |
1.2420337642332 |
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 |
20482f2 |
Quadratic twists by: -7 |