Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200bo |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1255837500000000 = 28 · 33 · 511 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11250508,14528422012] |
[a1,a2,a3,a4,a6] |
Generators |
[280642182:7571374925:97336] |
Generators of the group modulo torsion |
j |
39371336521124431696/313959375 |
j-invariant |
L |
4.4661442341067 |
L(r)(E,1)/r! |
Ω |
0.33527337101266 |
Real period |
R |
13.320903536709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18300j2 14640bk2 |
Quadratic twists by: -4 5 |