Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55660a |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-52154755840 = -1 · 28 · 5 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 11- -6 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-968,15972] |
[a1,a2,a3,a4,a6] |
Generators |
[44:242:1] |
Generators of the group modulo torsion |
j |
-221184/115 |
j-invariant |
L |
3.9937444031012 |
L(r)(E,1)/r! |
Ω |
1.0452954107162 |
Real period |
R |
0.63678081847926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
460a1 |
Quadratic twists by: -11 |