Atkin-Lehner |
2+ 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
105152b |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-49322598169837568 = -1 · 220 · 316 · 53 |
Discriminant |
Eigenvalues |
2+ 1 -4 -2 -2 -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105825,-17057281] |
[a1,a2,a3,a4,a6] |
Generators |
[24409:3813248:1] |
Generators of the group modulo torsion |
j |
-499980107400409/188150780372 |
j-invariant |
L |
2.2171855824793 |
L(r)(E,1)/r! |
Ω |
0.1299150582221 |
Real period |
R |
4.2666061730979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000112414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105152r1 3286a1 |
Quadratic twists by: -4 8 |