Atkin-Lehner |
2- 11+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
15158b |
Isogeny class |
Conductor |
15158 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
12320 |
Modular degree for the optimal curve |
Δ |
-51415936 = -1 · 27 · 11 · 13 · 532 |
Discriminant |
Eigenvalues |
2- -2 -3 -1 11+ 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3012,63376] |
[a1,a2,a3,a4,a6] |
Generators |
[20:96:1] |
Generators of the group modulo torsion |
j |
-3022022033428033/51415936 |
j-invariant |
L |
3.3864899964788 |
L(r)(E,1)/r! |
Ω |
1.8348351059946 |
Real period |
R |
0.13183317771463 |
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 |
121264m1 |
Quadratic twists by: -4 |