Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072k |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1682976911616 = 28 · 38 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3639,-56950] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1820:1] |
Generators of the group modulo torsion |
j |
28556329552/9018009 |
j-invariant |
L |
7.544561245706 |
L(r)(E,1)/r! |
Ω |
0.62996880336012 |
Real period |
R |
2.994021769889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990213 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024t2 |
Quadratic twists by: -3 |