Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18975p |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2567708859375 = -1 · 310 · 56 · 112 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-576,-77327] |
[a1,a2,a3,a4,a6] |
Generators |
[371:6942:1] |
Generators of the group modulo torsion |
j |
-1349232625/164333367 |
j-invariant |
L |
7.7545653862262 |
L(r)(E,1)/r! |
Ω |
0.36013688473095 |
Real period |
R |
2.1532272074879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56925q1 759a1 |
Quadratic twists by: -3 5 |