Atkin-Lehner |
2- 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72540p |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-119160007200000 = -1 · 28 · 37 · 55 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -5 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1133103,-464250602] |
[a1,a2,a3,a4,a6] |
Generators |
[5891:444186:1] |
Generators of the group modulo torsion |
j |
-862113382496049616/638503125 |
j-invariant |
L |
5.6918875612651 |
L(r)(E,1)/r! |
Ω |
0.07316480043837 |
Real period |
R |
6.4829530111183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24180g1 |
Quadratic twists by: -3 |