Atkin-Lehner |
2+ 3+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
10146a |
Isogeny class |
Conductor |
10146 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23936 |
Modular degree for the optimal curve |
Δ |
-574498013184 = -1 · 222 · 34 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 -3 -5 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1681,-45803] |
[a1,a2,a3,a4,a6] |
Generators |
[258:3967:1] |
Generators of the group modulo torsion |
j |
-525811971027097/574498013184 |
j-invariant |
L |
2.6297510026995 |
L(r)(E,1)/r! |
Ω |
0.35741254164211 |
Real period |
R |
1.8394367126971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168cm1 30438o1 |
Quadratic twists by: -4 -3 |