Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
15040bn |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
9625600000 = 216 · 55 · 47 |
Discriminant |
Eigenvalues |
2- -3 5- -1 -3 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3532,80656] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:400:1] [12:200:1] |
Generators of the group modulo torsion |
j |
74354261796/146875 |
j-invariant |
L |
4.5923209618265 |
L(r)(E,1)/r! |
Ω |
1.2946126724398 |
Real period |
R |
0.17736273789023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15040l1 3760b1 75200cl1 |
Quadratic twists by: -4 8 5 |