Atkin-Lehner |
2+ 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240u |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-987037688206080 = -1 · 28 · 311 · 5 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 -5 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3214812,-2218613164] |
[a1,a2,a3,a4,a6] |
j |
-19688968346658509824/5288910795 |
j-invariant |
L |
3.6079511021115 |
L(r)(E,1)/r! |
Ω |
0.056374234388266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31080u1 |
Quadratic twists by: -3 |