Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22440c |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-938921303501280000 = -1 · 28 · 322 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11+ -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-352401,-92925099] |
[a1,a2,a3,a4,a6] |
Generators |
[14649:1771470:1] |
Generators of the group modulo torsion |
j |
-18905857301773210624/3667661341801875 |
j-invariant |
L |
4.1994569796305 |
L(r)(E,1)/r! |
Ω |
0.096957528267011 |
Real period |
R |
2.7070209597764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44880o1 67320bp1 112200ch1 |
Quadratic twists by: -4 -3 5 |