Atkin-Lehner |
2+ 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150z |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
308187597656250000 = 24 · 38 · 514 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1052501,-414834352] |
[a1,a2,a3,a4,a6] |
j |
8252217089815982401/19724006250000 |
j-invariant |
L |
2.385208399956 |
L(r)(E,1)/r! |
Ω |
0.14907552617798 |
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 |
14430bg3 |
Quadratic twists by: 5 |