Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37240d |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1417141198914560 = 210 · 5 · 79 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12296449403,-524828854740218] |
[a1,a2,a3,a4,a6] |
Generators |
[13240228135191899218199345522516057814:-211918313344937525305803875342769547006322:51683194100476917600387217101] |
Generators of the group modulo torsion |
j |
1706768805632178182685889284/11763185 |
j-invariant |
L |
5.1207943029626 |
L(r)(E,1)/r! |
Ω |
0.01433687909878 |
Real period |
R |
59.529393480961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74480c4 5320e4 |
Quadratic twists by: -4 -7 |