Atkin-Lehner |
2- 3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
78660q |
Isogeny class |
Conductor |
78660 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1026432 |
Modular degree for the optimal curve |
Δ |
-75661087500000000 = -1 · 28 · 36 · 511 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -6 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1105392,-447520124] |
[a1,a2,a3,a4,a6] |
Generators |
[1592:42750:1] |
Generators of the group modulo torsion |
j |
-800396479914901504/405419921875 |
j-invariant |
L |
6.6978362872085 |
L(r)(E,1)/r! |
Ω |
0.073616859270841 |
Real period |
R |
0.68926037456559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8740b1 |
Quadratic twists by: -3 |