Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
36600l |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
3403101575376000000 = 210 · 320 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-524608,116066288] |
[a1,a2,a3,a4,a6] |
Generators |
[-412:16200:1] |
Generators of the group modulo torsion |
j |
997951153588708/212693848461 |
j-invariant |
L |
7.0149063348682 |
L(r)(E,1)/r! |
Ω |
0.23694677185199 |
Real period |
R |
0.74013525063455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200k3 109800br3 1464f3 |
Quadratic twists by: -4 -3 5 |