Atkin-Lehner |
2- 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38064bb |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
640629940958871552 = 214 · 314 · 133 · 612 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-705440,-225014796] |
[a1,a2,a3,a4,a6] |
Generators |
[-518:1296:1] |
Generators of the group modulo torsion |
j |
9478609340265344161/156403794179412 |
j-invariant |
L |
4.8794994593948 |
L(r)(E,1)/r! |
Ω |
0.16489937741178 |
Real period |
R |
1.0568131946329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758e2 114192bm2 |
Quadratic twists by: -4 -3 |