Atkin-Lehner |
2- 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109554t |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
332640 |
Modular degree for the optimal curve |
Δ |
-185546320094664 = -1 · 23 · 33 · 197 · 312 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 2 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1756,655832] |
[a1,a2,a3,a4,a6] |
j |
-623145289729/193076295624 |
j-invariant |
L |
4.158939345792 |
L(r)(E,1)/r! |
Ω |
0.46210441572322 |
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 |
109554p1 |
Quadratic twists by: -31 |