Atkin-Lehner |
2- 3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880bu |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-27137219788800000 = -1 · 218 · 311 · 55 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11+ 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12440,7903600] |
[a1,a2,a3,a4,a6] |
j |
51974460932759/6625297800000 |
j-invariant |
L |
2.8836286528119 |
L(r)(E,1)/r! |
Ω |
0.28836286530054 |
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 |
5610u1 |
Quadratic twists by: -4 |