Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
18300l |
Isogeny class |
Conductor |
18300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-19764000000 = -1 · 28 · 34 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 5 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2508,47988] |
[a1,a2,a3,a4,a6] |
j |
-436334416/4941 |
j-invariant |
L |
4.8913581155428 |
L(r)(E,1)/r! |
Ω |
1.2228395288857 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73200bv1 54900v1 732b1 |
Quadratic twists by: -4 -3 5 |