Atkin-Lehner |
2+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110bg |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-5163944417632000 = -1 · 28 · 53 · 72 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55259,-6064987] |
[a1,a2,a3,a4,a6] |
j |
-10533703412961/2914912000 |
j-invariant |
L |
1.8418196963334 |
L(r)(E,1)/r! |
Ω |
0.15348496833569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010u1 |
Quadratic twists by: -11 |