Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
18060l |
Isogeny class |
Conductor |
18060 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-39016933804800 = -1 · 28 · 310 · 52 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7779,146079] |
[a1,a2,a3,a4,a6] |
Generators |
[309:-5670:1] |
Generators of the group modulo torsion |
j |
203328956112896/152409897675 |
j-invariant |
L |
6.1113845201203 |
L(r)(E,1)/r! |
Ω |
0.41354126765536 |
Real period |
R |
0.06157572208341 |
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 |
72240bi1 54180y1 90300c1 126420w1 |
Quadratic twists by: -4 -3 5 -7 |