Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22440w |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
-165583086531390000 = -1 · 24 · 316 · 54 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,73545,18034578] |
[a1,a2,a3,a4,a6] |
j |
2749522520524826624/10348942908211875 |
j-invariant |
L |
3.6720455898048 |
L(r)(E,1)/r! |
Ω |
0.2295028493628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44880g1 67320o1 112200d1 |
Quadratic twists by: -4 -3 5 |