Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450y |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-93403125000 = -1 · 23 · 36 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -6 1 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-492,15416] |
[a1,a2,a3,a4,a6] |
Generators |
[19:103:1] |
Generators of the group modulo torsion |
j |
-46305/328 |
j-invariant |
L |
2.4221614165939 |
L(r)(E,1)/r! |
Ω |
0.91987016559459 |
Real period |
R |
0.43885929181252 |
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 |
2050g1 18450bt1 |
Quadratic twists by: -3 5 |