Atkin-Lehner |
2- 3+ 7+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18942k |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-553036087296 = -1 · 216 · 35 · 7 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11+ 7 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,770,-34501] |
[a1,a2,a3,a4,a6] |
Generators |
[49:327:1] |
Generators of the group modulo torsion |
j |
50484799522079/553036087296 |
j-invariant |
L |
7.2506146081391 |
L(r)(E,1)/r! |
Ω |
0.45429000450398 |
Real period |
R |
0.49876005251699 |
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 |
56826h1 |
Quadratic twists by: -3 |