Atkin-Lehner |
2- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
79618bc |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
486720 |
Modular degree for the optimal curve |
Δ |
-2573538784796672 = -1 · 213 · 73 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11- 2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58022,-5912092] |
[a1,a2,a3,a4,a6] |
Generators |
[296:1546:1] |
Generators of the group modulo torsion |
j |
-12193998945913/1452695552 |
j-invariant |
L |
14.653405709878 |
L(r)(E,1)/r! |
Ω |
0.15278394392591 |
Real period |
R |
0.61480339781661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7238a1 |
Quadratic twists by: -11 |