Atkin-Lehner |
2+ 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15330j |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
8448730920000 = 26 · 310 · 54 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45928,3782006] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-1438:1] |
Generators of the group modulo torsion |
j |
10713779912717312761/8448730920000 |
j-invariant |
L |
4.3437419914182 |
L(r)(E,1)/r! |
Ω |
0.72941329429874 |
Real period |
R |
0.14887794153774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122640bn1 45990bs1 76650bz1 107310j1 |
Quadratic twists by: -4 -3 5 -7 |