Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
18300n |
Isogeny class |
Conductor |
18300 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-10293750000 = -1 · 24 · 33 · 58 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,542,713] |
[a1,a2,a3,a4,a6] |
Generators |
[17:123:1] |
Generators of the group modulo torsion |
j |
2812160/1647 |
j-invariant |
L |
6.5700768922182 |
L(r)(E,1)/r! |
Ω |
0.77908095993679 |
Real period |
R |
2.8110372905495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
73200cd1 54900x1 18300d1 |
Quadratic twists by: -4 -3 5 |