Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296y |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
255536287792128 = 210 · 312 · 73 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62859,6017002] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:3402:1] |
Generators of the group modulo torsion |
j |
36795832252708/342314343 |
j-invariant |
L |
6.6777107430697 |
L(r)(E,1)/r! |
Ω |
0.55592068039713 |
Real period |
R |
1.0009987303555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18648x2 12432q2 |
Quadratic twists by: -4 -3 |