Atkin-Lehner |
2+ 3- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37944f |
Isogeny class |
Conductor |
37944 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.677131031013E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1160433831,-15215108177990] |
[a1,a2,a3,a4,a6] |
Generators |
[297763703694981094505616031:50699425510816554651068852424:5406379948626337359197] |
Generators of the group modulo torsion |
j |
926013596462780608574574928/8986684622626442601 |
j-invariant |
L |
5.2410849351717 |
L(r)(E,1)/r! |
Ω |
0.02586691953764 |
Real period |
R |
33.769547030562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75888m2 12648f2 |
Quadratic twists by: -4 -3 |