Atkin-Lehner |
2+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15824a |
Isogeny class |
Conductor |
15824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-359948528 = -1 · 24 · 233 · 432 |
Discriminant |
Eigenvalues |
2+ 3 -2 2 2 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151,-1159] |
[a1,a2,a3,a4,a6] |
Generators |
[1200:7633:27] |
Generators of the group modulo torsion |
j |
-23797677312/22496783 |
j-invariant |
L |
8.0691558632536 |
L(r)(E,1)/r! |
Ω |
0.65557291370184 |
Real period |
R |
6.1542779564284 |
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 |
7912b1 63296t1 |
Quadratic twists by: -4 8 |