Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480bq |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1516136693760 = 217 · 34 · 5 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2881,-4895] |
[a1,a2,a3,a4,a6] |
j |
20183398562/11567205 |
j-invariant |
L |
1.4138696333792 |
L(r)(E,1)/r! |
Ω |
0.70693481668961 |
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 |
12480x3 3120k4 37440fl3 62400hm3 |
Quadratic twists by: -4 8 -3 5 |