Atkin-Lehner |
2+ 3- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15678f |
Isogeny class |
Conductor |
15678 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-1361352096 = -1 · 25 · 36 · 13 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 4 13- -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-351,3181] |
[a1,a2,a3,a4,a6] |
Generators |
[15:26:1] |
Generators of the group modulo torsion |
j |
-6570725617/1867424 |
j-invariant |
L |
2.3674919779424 |
L(r)(E,1)/r! |
Ω |
1.4438185307151 |
Real period |
R |
0.81987172472773 |
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 |
125424bc1 1742a1 |
Quadratic twists by: -4 -3 |