Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240cg |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-13306882424832000 = -1 · 233 · 36 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57453,-1645486] |
[a1,a2,a3,a4,a6] |
Generators |
[1731:40960:27] |
Generators of the group modulo torsion |
j |
7023836099951/4456448000 |
j-invariant |
L |
4.6132347471083 |
L(r)(E,1)/r! |
Ω |
0.2284947845263 |
Real period |
R |
1.6824726644097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1530g1 48960ew1 1360d1 61200et1 |
Quadratic twists by: -4 8 -3 5 |