Atkin-Lehner |
2- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110ck |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-19861324683200 = -1 · 26 · 52 · 72 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6753,-20281] |
[a1,a2,a3,a4,a6] |
Generators |
[17:306:1] |
Generators of the group modulo torsion |
j |
19227292839/11211200 |
j-invariant |
L |
10.387890220105 |
L(r)(E,1)/r! |
Ω |
0.40415337247043 |
Real period |
R |
2.1419034872179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010j1 |
Quadratic twists by: -11 |