Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
103092d |
Isogeny class |
Conductor |
103092 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
158725391616 = 28 · 38 · 113 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11+ -3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35141,2523783] |
[a1,a2,a3,a4,a6] |
Generators |
[73:594:1] |
Generators of the group modulo torsion |
j |
14085115019264/465831 |
j-invariant |
L |
4.8363861777983 |
L(r)(E,1)/r! |
Ω |
0.95590238082508 |
Real period |
R |
0.105406208434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999776689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103092c1 |
Quadratic twists by: -11 |