Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816bj |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-23248896 = -1 · 214 · 3 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- 0 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-177,879] |
[a1,a2,a3,a4,a6] |
Generators |
[5:12:1] |
Generators of the group modulo torsion |
j |
-37642192/1419 |
j-invariant |
L |
6.2206782487265 |
L(r)(E,1)/r! |
Ω |
2.1219228353241 |
Real period |
R |
1.4658116108219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999841729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816bv1 11352i1 |
Quadratic twists by: -4 8 |