Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72540t |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
9651960583200000 = 28 · 311 · 55 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -2 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-133968,18271892] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1053:1] |
Generators of the group modulo torsion |
j |
1424818154438656/51718753125 |
j-invariant |
L |
5.8310079273788 |
L(r)(E,1)/r! |
Ω |
0.40585517786599 |
Real period |
R |
1.1972677789342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24180b1 |
Quadratic twists by: -3 |