Atkin-Lehner |
2+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9256a |
Isogeny class |
Conductor |
9256 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
11872 |
Modular degree for the optimal curve |
Δ |
1429662211328 = 28 · 137 · 89 |
Discriminant |
Eigenvalues |
2+ -2 0 1 2 13- 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4433,96499] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:338:1] |
Generators of the group modulo torsion |
j |
37642192000000/5584618013 |
j-invariant |
L |
3.2314797836473 |
L(r)(E,1)/r! |
Ω |
0.81754475923853 |
Real period |
R |
0.14116657341258 |
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 |
18512c1 74048d1 83304s1 120328g1 |
Quadratic twists by: -4 8 -3 13 |