Atkin-Lehner |
2- 3+ 7- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18942n |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1006307832936333312 = -1 · 216 · 310 · 73 · 11 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 0 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7973,-48259927] |
[a1,a2,a3,a4,a6] |
Generators |
[611:13302:1] |
Generators of the group modulo torsion |
j |
56051288426942927/1006307832936333312 |
j-invariant |
L |
7.8731010177969 |
L(r)(E,1)/r! |
Ω |
0.12806502659789 |
Real period |
R |
0.64038927031103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56826n1 |
Quadratic twists by: -3 |