Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425cy |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
99885368669625 = 36 · 53 · 77 · 113 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49761,4241143] |
[a1,a2,a3,a4,a6] |
j |
926574216749/6792093 |
j-invariant |
L |
3.6089926451022 |
L(r)(E,1)/r! |
Ω |
0.60149877418254 |
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 |
121275go1 40425bi1 5775m1 |
Quadratic twists by: -3 5 -7 |