Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450bo |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-12105045000000000 = -1 · 29 · 310 · 510 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-177305,-29175303] |
[a1,a2,a3,a4,a6] |
Generators |
[503:2700:1] |
Generators of the group modulo torsion |
j |
-86587817425/1700352 |
j-invariant |
L |
8.3174600568054 |
L(r)(E,1)/r! |
Ω |
0.11619409199409 |
Real period |
R |
3.9768038661593 |
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 |
6150g1 18450w1 |
Quadratic twists by: -3 5 |