Atkin-Lehner |
2- 3+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51240n |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-12607831555200000 = -1 · 210 · 32 · 55 · 76 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,45744,3858300] |
[a1,a2,a3,a4,a6] |
j |
10337527442789564/12312335503125 |
j-invariant |
L |
1.068863208174 |
L(r)(E,1)/r! |
Ω |
0.26721580230596 |
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 |
102480m2 |
Quadratic twists by: -4 |