Atkin-Lehner |
2+ 3- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37944f |
Isogeny class |
Conductor |
37944 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6.6667215599432E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18566898051,-973771686309170] |
[a1,a2,a3,a4,a6] |
Generators |
[1981839301898881564764712901094654609511411202:-877969765128298592931987774089182905407604017250:7174541064336371858924176141694969039107] |
Generators of the group modulo torsion |
j |
948231297057558902675158107652/89306862460659 |
j-invariant |
L |
5.2410849351717 |
L(r)(E,1)/r! |
Ω |
0.01293345976882 |
Real period |
R |
67.539094061125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75888m4 12648f3 |
Quadratic twists by: -4 -3 |