Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
36600p |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
89721049680000000 = 210 · 34 · 57 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-247008,-45082512] |
[a1,a2,a3,a4,a6] |
Generators |
[-276:1464:1] |
Generators of the group modulo torsion |
j |
104169012086884/5607565605 |
j-invariant |
L |
5.0775607800149 |
L(r)(E,1)/r! |
Ω |
0.21486950361329 |
Real period |
R |
0.73846577437554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200p4 109800bz4 7320n3 |
Quadratic twists by: -4 -3 5 |