Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075bd |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2998445053503515625 = 32 · 58 · 318 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-360876,-4689227] |
[a1,a2,a3,a4,a6] |
Generators |
[266785037101066847:-3431856150014328134:388074529133621] |
Generators of the group modulo torsion |
j |
374805361/216225 |
j-invariant |
L |
11.741822435356 |
L(r)(E,1)/r! |
Ω |
0.21242887109085 |
Real period |
R |
27.637068292033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000024 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14415c2 2325b2 |
Quadratic twists by: 5 -31 |