Atkin-Lehner |
3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15561f |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
-1534343652387 = -1 · 37 · 75 · 133 · 19 |
Discriminant |
Eigenvalues |
0 3- 4 7+ 3 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-116598,15324561] |
[a1,a2,a3,a4,a6] |
Generators |
[185:292:1] |
Generators of the group modulo torsion |
j |
-240474752802390016/2104723803 |
j-invariant |
L |
5.4041400575101 |
L(r)(E,1)/r! |
Ω |
0.76292705537873 |
Real period |
R |
1.180571593621 |
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 |
5187f1 108927l1 |
Quadratic twists by: -3 -7 |