Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880bl |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-4010911215743139840 = -1 · 239 · 33 · 5 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2322336,1366361856] |
[a1,a2,a3,a4,a6] |
j |
-338173143620095981729/979226371031040 |
j-invariant |
L |
1.489279756432 |
L(r)(E,1)/r! |
Ω |
0.24821329276541 |
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 |
5610bf1 |
Quadratic twists by: -4 |