Atkin-Lehner |
2- 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29904c |
Isogeny class |
Conductor |
29904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-271289088 = -1 · 28 · 35 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-189,-1215] |
[a1,a2,a3,a4,a6] |
Generators |
[17:14:1] |
Generators of the group modulo torsion |
j |
-2932006912/1059723 |
j-invariant |
L |
3.9330881921775 |
L(r)(E,1)/r! |
Ω |
0.63207475247734 |
Real period |
R |
1.5556262043224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7476a1 119616z1 89712bh1 |
Quadratic twists by: -4 8 -3 |