Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968be |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
171155185324033536 = 29 · 39 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165699,16667370] |
[a1,a2,a3,a4,a6] |
Generators |
[397904597370:-5557092839614:843908625] |
Generators of the group modulo torsion |
j |
1061208/361 |
j-invariant |
L |
9.2521877680522 |
L(r)(E,1)/r! |
Ω |
0.29597846033778 |
Real period |
R |
15.629832921126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103968c2 103968d2 5472a2 |
Quadratic twists by: -4 -3 -19 |