Atkin-Lehner |
2- 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270bu |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-4510927895040 = -1 · 29 · 311 · 5 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 6 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7817,-282999] |
[a1,a2,a3,a4,a6] |
j |
-72454344765769/6187829760 |
j-invariant |
L |
4.5474962705085 |
L(r)(E,1)/r! |
Ω |
0.25263868169492 |
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 |
6090c1 91350bt1 127890es1 |
Quadratic twists by: -3 5 -7 |