Atkin-Lehner |
2- 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15180f |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
474194221537386240 = 28 · 33 · 5 · 1110 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-327196,-63857960] |
[a1,a2,a3,a4,a6] |
Generators |
[-411:1012:1] [-246:1298:1] |
Generators of the group modulo torsion |
j |
15132442465277431504/1852321177880415 |
j-invariant |
L |
5.2530408871725 |
L(r)(E,1)/r! |
Ω |
0.20121841653169 |
Real period |
R |
1.740410901983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720cb2 45540q2 75900y2 |
Quadratic twists by: -4 -3 5 |