Atkin-Lehner |
2- 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
18060i |
Isogeny class |
Conductor |
18060 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
117600 |
Modular degree for the optimal curve |
Δ |
-2124740940000000 = -1 · 28 · 3 · 57 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-293501,61143999] |
[a1,a2,a3,a4,a6] |
j |
-10922297016484225024/8299769296875 |
j-invariant |
L |
1.3799069042194 |
L(r)(E,1)/r! |
Ω |
0.45996896807315 |
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 |
72240bo1 54180s1 90300l1 126420v1 |
Quadratic twists by: -4 -3 5 -7 |