Atkin-Lehner |
2+ 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480d |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
31169419332480000 = 210 · 39 · 54 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-345843,-77820642] |
[a1,a2,a3,a4,a6] |
j |
226970509441932/1546455625 |
j-invariant |
L |
3.1512154983008 |
L(r)(E,1)/r! |
Ω |
0.19695096858795 |
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 |
102960e2 51480bf2 |
Quadratic twists by: -4 -3 |