Atkin-Lehner |
2- 3+ 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330u |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-51607895040 = -1 · 210 · 33 · 5 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26,10919] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:107:1] |
Generators of the group modulo torsion |
j |
-1948441249/51607895040 |
j-invariant |
L |
5.6534819774549 |
L(r)(E,1)/r! |
Ω |
0.8977770491925 |
Real period |
R |
0.62972003823665 |
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 |
54990v1 91650bd1 |
Quadratic twists by: -3 5 |