Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
107484j |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-8866350154513543536 = -1 · 24 · 33 · 1310 · 533 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -6 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15489582,-23469904431] |
[a1,a2,a3,a4,a6] |
Generators |
[132513051:12759920499:12167] |
Generators of the group modulo torsion |
j |
-186332807994112/4019679 |
j-invariant |
L |
5.1449544879294 |
L(r)(E,1)/r! |
Ω |
0.038050386282538 |
Real period |
R |
15.023805636773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032483 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107484i2 |
Quadratic twists by: 13 |