Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
42300u |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
946087087500000000 = 28 · 36 · 511 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 7 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1592175,-771858250] |
[a1,a2,a3,a4,a6] |
j |
153076524671824/324446875 |
j-invariant |
L |
2.4195224901287 |
L(r)(E,1)/r! |
Ω |
0.13441791611854 |
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 |
4700a1 8460i1 |
Quadratic twists by: -3 5 |