Atkin-Lehner |
2- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7268d |
Isogeny class |
Conductor |
7268 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5688 |
Modular degree for the optimal curve |
Δ |
-1214947952 = -1 · 24 · 233 · 792 |
Discriminant |
Eigenvalues |
2- -1 2 0 -2 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18382,965417] |
[a1,a2,a3,a4,a6] |
Generators |
[178:1817:1] |
Generators of the group modulo torsion |
j |
-42934423977349888/75934247 |
j-invariant |
L |
3.6686561709296 |
L(r)(E,1)/r! |
Ω |
1.315106018105 |
Real period |
R |
0.15497931642956 |
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 |
29072h1 116288m1 65412a1 |
Quadratic twists by: -4 8 -3 |