Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950eb |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-564213195000000000 = -1 · 29 · 311 · 510 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 13- -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,36445,-36049053] |
[a1,a2,a3,a4,a6] |
j |
752005775/79252992 |
j-invariant |
L |
4.973169197951 |
L(r)(E,1)/r! |
Ω |
0.13814358883293 |
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 |
13650g1 40950cn1 |
Quadratic twists by: -3 5 |