Atkin-Lehner |
2+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640bh |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
4.156770681856E+22 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10302412,8110344816] |
[a1,a2,a3,a4,a6] |
Generators |
[677:38025:1] |
Generators of the group modulo torsion |
j |
461318138587542093129/158568217539062500 |
j-invariant |
L |
6.312764376668 |
L(r)(E,1)/r! |
Ω |
0.10523394817297 |
Real period |
R |
1.9995969189591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032586 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120640cu2 3770a2 |
Quadratic twists by: -4 8 |