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 |
-1.7064796468937E+28 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1133019291,-15968169143066] |
[a1,a2,a3,a4,a6] |
Generators |
[65263323784924266814708305349109381336386717702274:-11137974040245695893967740371304695478843685478699627:1186542163095937631686863025875903778489355464] |
Generators of the group modulo torsion |
j |
-215480582103469207662734692/22859863239638857125663 |
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 |
75888m3 12648f4 |
Quadratic twists by: -4 -3 |