Atkin-Lehner |
2- 3+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
83496j |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1257372275712 = -1 · 210 · 3 · 78 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6288,201468] |
[a1,a2,a3,a4,a6] |
j |
-4658500/213 |
j-invariant |
L |
1.7064135120391 |
L(r)(E,1)/r! |
Ω |
0.85320674724872 |
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 |
83496s1 |
Quadratic twists by: -7 |