Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072h |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
82465868669184 = 28 · 38 · 74 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63111,6086810] |
[a1,a2,a3,a4,a6] |
Generators |
[7:2376:1] |
Generators of the group modulo torsion |
j |
148960596762448/441882441 |
j-invariant |
L |
4.4464648555096 |
L(r)(E,1)/r! |
Ω |
0.61018375868132 |
Real period |
R |
1.8217728641904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001278 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024u2 |
Quadratic twists by: -3 |