Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800jd |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
13023281250000 = 24 · 35 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15633,-737262] |
[a1,a2,a3,a4,a6] |
j |
4927700992/151875 |
j-invariant |
L |
4.2776565949068 |
L(r)(E,1)/r! |
Ω |
0.42776565921766 |
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 |
14700n1 11760bz1 58800gd1 |
Quadratic twists by: -4 5 -7 |