Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18450q |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-25218843750 = -1 · 2 · 39 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-342,-7934] |
[a1,a2,a3,a4,a6] |
Generators |
[35:131:1] |
Generators of the group modulo torsion |
j |
-389017/2214 |
j-invariant |
L |
3.9324180429373 |
L(r)(E,1)/r! |
Ω |
0.49782824920879 |
Real period |
R |
1.9747865097989 |
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 |
6150x1 738j1 |
Quadratic twists by: -3 5 |