Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498cg |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-5984416858896 = -1 · 24 · 36 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 6 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-524,117919] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-355:1] |
Generators of the group modulo torsion |
j |
-185193/69776 |
j-invariant |
L |
9.2347603577304 |
L(r)(E,1)/r! |
Ω |
0.61431178388888 |
Real period |
R |
0.93954330283116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8722l1 11214n1 |
Quadratic twists by: -3 -7 |