Atkin-Lehner |
2+ 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390d |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
2591566289550000 = 24 · 35 · 55 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-128503,-17614043] |
[a1,a2,a3,a4,a6] |
j |
40708441207609/449550000 |
j-invariant |
L |
1.5139510758013 |
L(r)(E,1)/r! |
Ω |
0.25232517898598 |
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 |
54390bh1 |
Quadratic twists by: -7 |