Atkin-Lehner |
3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135f |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-17726763075 = -1 · 3 · 52 · 78 · 41 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 5 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16,6411] |
[a1,a2,a3,a4,a6] |
j |
-4096/150675 |
j-invariant |
L |
3.9233742563863 |
L(r)(E,1)/r! |
Ω |
0.9808435640968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405cb1 4305k1 |
Quadratic twists by: -3 -7 |