Atkin-Lehner |
3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075i |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2812320 |
Modular degree for the optimal curve |
Δ |
-4.0331858931608E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -1 4 6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1827802,170912846] |
[a1,a2,a3,a4,a6] |
j |
32957495/19683 |
j-invariant |
L |
1.6477186777635 |
L(r)(E,1)/r! |
Ω |
0.1029824176702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075bk1 72075y1 |
Quadratic twists by: 5 -31 |