Atkin-Lehner |
2+ 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150k |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
224000 |
Modular degree for the optimal curve |
Δ |
-234476000 = -1 · 25 · 53 · 11 · 732 |
Discriminant |
Eigenvalues |
2+ -3 5- -5 11+ 4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38152,2877856] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:2023:1] [115:-94:1] |
Generators of the group modulo torsion |
j |
-49132858362637581/1875808 |
j-invariant |
L |
3.5382783170876 |
L(r)(E,1)/r! |
Ω |
1.3042099893848 |
Real period |
R |
0.67824168383262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150bh1 |
Quadratic twists by: 5 |