Atkin-Lehner |
2- 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270bg |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
6393038400 = 26 · 39 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2783,-55673] |
[a1,a2,a3,a4,a6] |
j |
121066986123/324800 |
j-invariant |
L |
3.9446159153122 |
L(r)(E,1)/r! |
Ω |
0.65743598588537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18270j1 91350f1 127890ed1 |
Quadratic twists by: -3 5 -7 |