Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
36600s |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6028020000000 = 28 · 34 · 57 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54508,4915012] |
[a1,a2,a3,a4,a6] |
Generators |
[157:-450:1] [-168:3050:1] |
Generators of the group modulo torsion |
j |
4477673574736/1507005 |
j-invariant |
L |
7.312505818269 |
L(r)(E,1)/r! |
Ω |
0.74117805601064 |
Real period |
R |
0.61662863590673 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200u2 109800m2 7320e2 |
Quadratic twists by: -4 -3 5 |