Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600cu |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-25272000000000 = -1 · 212 · 35 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 1 13- 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1333,-243037] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1875:1] |
Generators of the group modulo torsion |
j |
-32768/3159 |
j-invariant |
L |
5.9700519296192 |
L(r)(E,1)/r! |
Ω |
0.29683877333094 |
Real period |
R |
2.0112102818062 |
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 |
975f1 62400fm1 46800fi1 15600bp1 |
Quadratic twists by: -4 8 -3 5 |