Atkin-Lehner |
2- 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786co |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
-189376536426 = -1 · 2 · 3 · 76 · 11 · 293 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ 3 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13770,-623442] |
[a1,a2,a3,a4,a6] |
j |
-2454365649169/1609674 |
j-invariant |
L |
5.508822988245 |
L(r)(E,1)/r! |
Ω |
0.22035292870568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914h1 |
Quadratic twists by: -7 |