Atkin-Lehner |
2+ 3- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826l |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
336360742105416336 = 24 · 316 · 74 · 112 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1315566,580445572] |
[a1,a2,a3,a4,a6] |
j |
345409511205918218977/461400194931984 |
j-invariant |
L |
2.42774457716 |
L(r)(E,1)/r! |
Ω |
0.30346807201375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18942p2 |
Quadratic twists by: -3 |