Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2178m |
Isogeny class |
Conductor |
2178 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
3534944134284288 = 210 · 311 · 117 |
Discriminant |
Eigenvalues |
2- 3- 4 2 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49028,3057959] |
[a1,a2,a3,a4,a6] |
j |
10091699281/2737152 |
j-invariant |
L |
4.1486702780781 |
L(r)(E,1)/r! |
Ω |
0.41486702780781 |
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 |
17424cf1 69696dq1 726e1 54450bz1 |
Quadratic twists by: -4 8 -3 5 |