Atkin-Lehner |
2- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
1102c |
Isogeny class |
Conductor |
1102 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-686096384 = -1 · 216 · 192 · 29 |
Discriminant |
Eigenvalues |
2- -1 -1 0 3 -5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-361,2775] |
[a1,a2,a3,a4,a6] |
Generators |
[47:280:1] |
Generators of the group modulo torsion |
j |
-5203798902289/686096384 |
j-invariant |
L |
2.9386228327119 |
L(r)(E,1)/r! |
Ω |
1.5616598510946 |
Real period |
R |
0.058804075329133 |
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 |
8816i1 35264i1 9918e1 27550d1 |
Quadratic twists by: -4 8 -3 5 |