Atkin-Lehner |
2- 3+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650br |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
248378085492187500 = 22 · 314 · 59 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17719638,28702421031] |
[a1,a2,a3,a4,a6] |
Generators |
[12329:-1304043:1] |
Generators of the group modulo torsion |
j |
315034568025135423821/127169579772 |
j-invariant |
L |
9.0845009272598 |
L(r)(E,1)/r! |
Ω |
0.25332092602476 |
Real period |
R |
8.9654071118779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58650bd2 |
Quadratic twists by: 5 |