Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
95424bx |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-24239222784 = -1 · 212 · 35 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 -1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4009,99337] |
[a1,a2,a3,a4,a6] |
Generators |
[39:28:1] |
Generators of the group modulo torsion |
j |
-1740124245952/5917779 |
j-invariant |
L |
7.5369946681191 |
L(r)(E,1)/r! |
Ω |
1.202341846298 |
Real period |
R |
1.0447659153605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999872321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424cf1 47712p1 |
Quadratic twists by: -4 8 |