Atkin-Lehner |
2- 3+ 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850bp |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
391632112792968750 = 2 · 310 · 512 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3606313,2634312281] |
[a1,a2,a3,a4,a6] |
j |
331966260192812623561/25064455218750 |
j-invariant |
L |
1.1437585108678 |
L(r)(E,1)/r! |
Ω |
0.2859394942474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970k2 |
Quadratic twists by: 5 |