Atkin-Lehner |
2- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872bl |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
8607840730087424 = 224 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 0 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-684089889,6887034378689] |
[a1,a2,a3,a4,a6] |
j |
135058930188560270934200713/32836306496 |
j-invariant |
L |
1.3513440844688 |
L(r)(E,1)/r! |
Ω |
0.16891801056034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39872i1 9968o1 |
Quadratic twists by: -4 8 |