Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
18300g |
Isogeny class |
Conductor |
18300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
85781250000 = 24 · 32 · 510 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1133,-4512] |
[a1,a2,a3,a4,a6] |
Generators |
[1468:56250:1] |
Generators of the group modulo torsion |
j |
643956736/343125 |
j-invariant |
L |
6.1823790243106 |
L(r)(E,1)/r! |
Ω |
0.87444892137474 |
Real period |
R |
3.5350143805948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200bk1 54900j1 3660c1 |
Quadratic twists by: -4 -3 5 |