Atkin-Lehner |
2+ 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638d |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
235200 |
Modular degree for the optimal curve |
Δ |
-1201886199808 = -1 · 225 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- 5 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1963,-39955] |
[a1,a2,a3,a4,a6] |
j |
17058576884951/24528289792 |
j-invariant |
L |
0.45892765380372 |
L(r)(E,1)/r! |
Ω |
0.458927651252 |
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 |
71638a1 |
Quadratic twists by: -7 |