Atkin-Lehner |
2- 3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18060c |
Isogeny class |
Conductor |
18060 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3131170560 = 28 · 33 · 5 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-820,-8360] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:159:8] |
Generators of the group modulo torsion |
j |
238481570896/12231135 |
j-invariant |
L |
3.7744447203373 |
L(r)(E,1)/r! |
Ω |
0.89491963030132 |
Real period |
R |
4.2176354082952 |
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 |
72240dg2 54180g2 90300bq2 126420bj2 |
Quadratic twists by: -4 -3 5 -7 |