Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072i |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.4991258883471E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-340107771,-2414198263930] |
[a1,a2,a3,a4,a6] |
Generators |
[-30487920456980:-743801840379:2863288000] |
Generators of the group modulo torsion |
j |
5828353604582507500870372/200821690718649 |
j-invariant |
L |
4.8457618673365 |
L(r)(E,1)/r! |
Ω |
0.035155673046144 |
Real period |
R |
17.229658286751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998558 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024v2 |
Quadratic twists by: -3 |