Atkin-Lehner |
2- 3+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
72756b |
Isogeny class |
Conductor |
72756 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1176832083312 = -1 · 24 · 39 · 433 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -3 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2565,-72279] |
[a1,a2,a3,a4,a6] |
Generators |
[120:1161:1] [77586:7640541:8] |
Generators of the group modulo torsion |
j |
-5926176000/3736829 |
j-invariant |
L |
10.866364507994 |
L(r)(E,1)/r! |
Ω |
0.32612373685236 |
Real period |
R |
5.5532932647998 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72756a1 |
Quadratic twists by: -3 |