Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18600k |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-5217662769750000 = -1 · 24 · 36 · 56 · 315 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 4 2 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23392,-3183087] |
[a1,a2,a3,a4,a6] |
j |
5661965297408/20870651079 |
j-invariant |
L |
2.6250003296542 |
L(r)(E,1)/r! |
Ω |
0.21875002747118 |
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 |
37200i1 55800bx1 744d1 |
Quadratic twists by: -4 -3 5 |