Atkin-Lehner |
2- 7- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648s |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-5253414001935368192 = -1 · 214 · 75 · 118 · 89 |
Discriminant |
Eigenvalues |
2- 0 4 7- 11+ 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,342437,-78814710] |
[a1,a2,a3,a4,a6] |
j |
1084191043184481231/1282571777816252 |
j-invariant |
L |
5.1975424313421 |
L(r)(E,1)/r! |
Ω |
0.12993856346772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13706j1 |
Quadratic twists by: -4 |