Atkin-Lehner |
2- 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17940g |
Isogeny class |
Conductor |
17940 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-385541812500000000 = -1 · 28 · 3 · 512 · 132 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,126964,-24232236] |
[a1,a2,a3,a4,a6] |
Generators |
[2031:92820:1] [11937:293930:27] |
Generators of the group modulo torsion |
j |
884142190907007536/1506022705078125 |
j-invariant |
L |
7.1840572256729 |
L(r)(E,1)/r! |
Ω |
0.1580472073787 |
Real period |
R |
45.455135492899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71760bc4 53820v4 89700f4 |
Quadratic twists by: -4 -3 5 |