Atkin-Lehner |
2- 3+ 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330v |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
1337241858924497760 = 25 · 33 · 5 · 13 · 478 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-401180,80270237] |
[a1,a2,a3,a4,a6] |
j |
7140713388921764982721/1337241858924497760 |
j-invariant |
L |
2.5760447036146 |
L(r)(E,1)/r! |
Ω |
0.25760447036146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54990j3 91650bf3 |
Quadratic twists by: -3 5 |