Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
46620f |
Isogeny class |
Conductor |
46620 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-887481630000 = -1 · 24 · 33 · 54 · 74 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1188,-47987] |
[a1,a2,a3,a4,a6] |
j |
-429229228032/2054355625 |
j-invariant |
L |
2.9428997766611 |
L(r)(E,1)/r! |
Ω |
0.36786247207507 |
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 |
46620m1 |
Quadratic twists by: -3 |