Atkin-Lehner |
2- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
40150bh |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1120000 |
Modular degree for the optimal curve |
Δ |
-3663687500000 = -1 · 25 · 59 · 11 · 732 |
Discriminant |
Eigenvalues |
2- 3 5- 5 11+ -4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-953805,358778197] |
[a1,a2,a3,a4,a6] |
j |
-49132858362637581/1875808 |
j-invariant |
L |
11.665208772892 |
L(r)(E,1)/r! |
Ω |
0.58326043863973 |
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 |
40150k1 |
Quadratic twists by: 5 |