Atkin-Lehner |
2+ 3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
60258i |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
756461668497816072 = 23 · 3 · 1114 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1322411,583277589] |
[a1,a2,a3,a4,a6] |
Generators |
[165426:893795:216] |
Generators of the group modulo torsion |
j |
144366847704755857/427002890952 |
j-invariant |
L |
2.7710315729987 |
L(r)(E,1)/r! |
Ω |
0.28526283178607 |
Real period |
R |
9.7139594237301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478l3 |
Quadratic twists by: -11 |