Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10062b |
Isogeny class |
Conductor |
10062 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
5943958585344 = 214 · 33 · 132 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6633,-170035] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:213:1] |
Generators of the group modulo torsion |
j |
1195437207446091/220146614272 |
j-invariant |
L |
3.140001543811 |
L(r)(E,1)/r! |
Ω |
0.53573695800876 |
Real period |
R |
2.9305440821946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80496ba1 10062g1 |
Quadratic twists by: -4 -3 |