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 |
2.1762907646396E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4084751,-3169982977] |
[a1,a2,a3,a4,a6] |
Generators |
[-10289774957:19411587189:9129329] |
Generators of the group modulo torsion |
j |
543538277281/1569375 |
j-invariant |
L |
11.741822435356 |
L(r)(E,1)/r! |
Ω |
0.10621443554542 |
Real period |
R |
13.818534146017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14415c3 2325b3 |
Quadratic twists by: 5 -31 |