Atkin-Lehner |
2+ 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618bi |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-151360690321241856 = -1 · 28 · 33 · 79 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-305492,-67657390] |
[a1,a2,a3,a4,a6] |
Generators |
[984:23689:1] |
Generators of the group modulo torsion |
j |
-78133779690751/3750859008 |
j-invariant |
L |
4.2809684547715 |
L(r)(E,1)/r! |
Ω |
0.10125237513562 |
Real period |
R |
3.523348175838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72618e1 |
Quadratic twists by: -7 |