Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960z |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
779133911040000 = 230 · 33 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35067,2141226] |
[a1,a2,a3,a4,a6] |
j |
43121696645763/7045120000 |
j-invariant |
L |
3.8547570024226 |
L(r)(E,1)/r! |
Ω |
0.48184462530273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3870n1 123840dp1 30960t1 |
Quadratic twists by: -4 8 -3 |