Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bh |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-453978078750000 = -1 · 24 · 32 · 57 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5717,-1013438] |
[a1,a2,a3,a4,a6] |
j |
2048/45 |
j-invariant |
L |
1.0236730725106 |
L(r)(E,1)/r! |
Ω |
0.25591826775111 |
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 |
29400ef1 11760z1 58800dq1 |
Quadratic twists by: -4 5 -7 |