Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730d |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-1.0791589966643E+21 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1092507,-1517724787] |
[a1,a2,a3,a4,a6] |
j |
81402860249195471/609157120000000 |
j-invariant |
L |
1.3887437388324 |
L(r)(E,1)/r! |
Ω |
0.077152429935131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125840bp1 78650cq1 1430f1 |
Quadratic twists by: -4 5 -11 |