Atkin-Lehner |
2- 3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
99540a |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-82568430000 = -1 · 24 · 33 · 54 · 72 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72,-13823] |
[a1,a2,a3,a4,a6] |
Generators |
[26:75:1] [44:273:1] |
Generators of the group modulo torsion |
j |
95551488/191130625 |
j-invariant |
L |
10.649857006005 |
L(r)(E,1)/r! |
Ω |
0.50209356535904 |
Real period |
R |
1.7675750995288 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99540c1 |
Quadratic twists by: -3 |