Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232cm |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
10 |
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] |
Generators |
[-32:189:1] [24:49:1] |
Generators of the group modulo torsion |
j |
-5109778215424/649372059 |
j-invariant |
L |
9.6004739837865 |
L(r)(E,1)/r! |
Ω |
1.1103461357972 |
Real period |
R |
0.8646379425591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232cy1 35616k1 |
Quadratic twists by: -4 8 |