Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cs |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-49954004429062500 = -1 · 22 · 38 · 57 · 13 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23088,-10839708] |
[a1,a2,a3,a4,a6] |
Generators |
[57216:2597134:27] |
Generators of the group modulo torsion |
j |
-87109155423289/3197056283460 |
j-invariant |
L |
14.844261933989 |
L(r)(E,1)/r! |
Ω |
0.15551975115404 |
Real period |
R |
5.9655854895349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000579 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14430e4 |
Quadratic twists by: 5 |