Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950z |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
5304611556562500 = 22 · 315 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3227292,-2230734884] |
[a1,a2,a3,a4,a6] |
j |
326355561310674169/465699780 |
j-invariant |
L |
1.8022291209355 |
L(r)(E,1)/r! |
Ω |
0.11263932005558 |
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 |
13650bu1 8190bz1 |
Quadratic twists by: -3 5 |