Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450bq |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-56041875000 = -1 · 23 · 37 · 57 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4730,126897] |
[a1,a2,a3,a4,a6] |
Generators |
[59:195:1] |
Generators of the group modulo torsion |
j |
-1027243729/4920 |
j-invariant |
L |
7.0406057354679 |
L(r)(E,1)/r! |
Ω |
1.1223197426349 |
Real period |
R |
0.26138591451883 |
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 |
6150h1 3690k1 |
Quadratic twists by: -3 5 |