Atkin-Lehner |
2- 3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72540s |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
200448 |
Modular degree for the optimal curve |
Δ |
-7868791008000 = -1 · 28 · 39 · 53 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40368,3124708] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-1674:1] [-19:1971:1] |
Generators of the group modulo torsion |
j |
-38982341165056/42163875 |
j-invariant |
L |
8.9232026911682 |
L(r)(E,1)/r! |
Ω |
0.73637881998502 |
Real period |
R |
0.50490332155429 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24180i1 |
Quadratic twists by: -3 |