Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232cy |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-41559811776 = -1 · 26 · 36 · 75 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 -2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1435,-23593] |
[a1,a2,a3,a4,a6] |
j |
-5109778215424/649372059 |
j-invariant |
L |
2.3105175348717 |
L(r)(E,1)/r! |
Ω |
0.38508626075289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232cm1 35616a1 |
Quadratic twists by: -4 8 |