Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bg |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
42195431250000 = 24 · 39 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1147883,-472980738] |
[a1,a2,a3,a4,a6] |
j |
1950665639360512/492075 |
j-invariant |
L |
0.29171255060183 |
L(r)(E,1)/r! |
Ω |
0.14585627691759 |
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 |
29400bs1 11760bi1 58800dl1 |
Quadratic twists by: -4 5 -7 |