Atkin-Lehner |
2- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15824g |
Isogeny class |
Conductor |
15824 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-119843127296 = -1 · 216 · 23 · 433 |
Discriminant |
Eigenvalues |
2- -3 -2 -2 -5 1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1229,-1550] |
[a1,a2,a3,a4,a6] |
Generators |
[7:86:1] |
Generators of the group modulo torsion |
j |
50120963703/29258576 |
j-invariant |
L |
1.6385120486017 |
L(r)(E,1)/r! |
Ω |
0.61820521377251 |
Real period |
R |
0.44173898140903 |
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 |
1978b1 63296p1 |
Quadratic twists by: -4 8 |