Atkin-Lehner |
2- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
77326h |
Isogeny class |
Conductor |
77326 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-1146713164611328 = -1 · 28 · 23 · 417 |
Discriminant |
Eigenvalues |
2- 0 -2 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,24059,-774915] |
[a1,a2,a3,a4,a6] |
j |
324242703/241408 |
j-invariant |
L |
2.1868704519182 |
L(r)(E,1)/r! |
Ω |
0.27335880243256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1886e1 |
Quadratic twists by: 41 |