Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
72720cd |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-761500569600 = -1 · 212 · 36 · 52 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-747,42714] |
[a1,a2,a3,a4,a6] |
Generators |
[39:270:1] |
Generators of the group modulo torsion |
j |
-15438249/255025 |
j-invariant |
L |
7.2473628347301 |
L(r)(E,1)/r! |
Ω |
0.7582939578314 |
Real period |
R |
2.3893645599586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4545c2 8080e2 |
Quadratic twists by: -4 -3 |