Atkin-Lehner |
3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015t |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
4.4193945327759E+20 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60469675,180982128632] |
[a1,a2,a3,a4,a6] |
j |
24453251577297496719005713201/441939453277587890625 |
j-invariant |
L |
1.536239409082 |
L(r)(E,1)/r! |
Ω |
0.1536239409082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45045u1 75075p1 105105h1 |
Quadratic twists by: -3 5 -7 |