Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075bi |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7737600 |
Modular degree for the optimal curve |
Δ |
1.2966775633876E+23 |
Discriminant |
Eigenvalues |
0 3- 5- -2 3 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-76960083,259260349619] |
[a1,a2,a3,a4,a6] |
j |
31490048/81 |
j-invariant |
L |
0.83531257828259 |
L(r)(E,1)/r! |
Ω |
0.10441407220696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075t1 72075o1 |
Quadratic twists by: 5 -31 |