Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480s |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-5906612775294000 = -1 · 24 · 320 · 53 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15609,-3615480] |
[a1,a2,a3,a4,a6] |
Generators |
[264:4356:1] |
Generators of the group modulo torsion |
j |
26284586405881856/369163298455875 |
j-invariant |
L |
5.7343582034553 |
L(r)(E,1)/r! |
Ω |
0.20852776130256 |
Real period |
R |
2.7499255579381 |
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 |
9240r1 73920fg1 55440ba1 92400v1 |
Quadratic twists by: -4 8 -3 5 |