Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
104580c |
Isogeny class |
Conductor |
104580 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-156870000 = -1 · 24 · 33 · 54 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33,-607] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-75:1] |
Generators of the group modulo torsion |
j |
-9199872/363125 |
j-invariant |
L |
5.6748107779634 |
L(r)(E,1)/r! |
Ω |
0.79598210473358 |
Real period |
R |
0.59410996115916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104580e1 |
Quadratic twists by: -3 |