Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072r |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2243969215488 = 210 · 37 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27795,-1782146] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:36:1] |
Generators of the group modulo torsion |
j |
3181238738500/3006003 |
j-invariant |
L |
6.9354412409075 |
L(r)(E,1)/r! |
Ω |
0.36977072273173 |
Real period |
R |
1.1722536449265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024bb2 |
Quadratic twists by: -3 |