Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630cv |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
816749502187500 = 22 · 37 · 57 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-244301,-46476795] |
[a1,a2,a3,a4,a6] |
j |
32908150684150663201/16668357187500 |
j-invariant |
L |
3.0064879853805 |
L(r)(E,1)/r! |
Ω |
0.2147491418261 |
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 |
127890cw1 42630co1 |
Quadratic twists by: -3 -7 |