Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cw |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13977600 |
Modular degree for the optimal curve |
Δ |
-3.3174136301248E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33278628,-286796059877] |
[a1,a2,a3,a4,a6] |
Generators |
[3911574257764135673775530253821:160995034873794047210802602528094:436107281121031857815443321] |
Generators of the group modulo torsion |
j |
-349439858058052607328256/2844147488104248046875 |
j-invariant |
L |
5.3505571445956 |
L(r)(E,1)/r! |
Ω |
0.027664492790768 |
Real period |
R |
48.352207151084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13860p1 18480dd1 |
Quadratic twists by: -4 -3 |