Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742b |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28385280 |
Modular degree for the optimal curve |
Δ |
1.4351005155841E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-915991107,-10670276625787] |
[a1,a2,a3,a4,a6] |
j |
29170184477654905875/49252016 |
j-invariant |
L |
0.87816645467536 |
L(r)(E,1)/r! |
Ω |
0.027442693831899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104742bh1 4554c1 |
Quadratic twists by: -3 -23 |