Atkin-Lehner |
2- 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
18060a |
Isogeny class |
Conductor |
18060 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
15531600 = 24 · 3 · 52 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12941,570966] |
[a1,a2,a3,a4,a6] |
Generators |
[75:129:1] |
Generators of the group modulo torsion |
j |
14980999869497344/970725 |
j-invariant |
L |
3.5842767796571 |
L(r)(E,1)/r! |
Ω |
1.6712772737021 |
Real period |
R |
0.71487774371863 |
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 |
72240co1 54180t1 90300bm1 126420bs1 |
Quadratic twists by: -4 -3 5 -7 |