Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60320u |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
3016000000000 = 212 · 59 · 13 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- -3 -4 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53485,4778117] |
[a1,a2,a3,a4,a6] |
Generators |
[139:100:1] |
Generators of the group modulo torsion |
j |
4131120704098816/736328125 |
j-invariant |
L |
3.0185270575582 |
L(r)(E,1)/r! |
Ω |
0.77645598077112 |
Real period |
R |
0.2159761168511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60320s1 120640ci1 |
Quadratic twists by: -4 8 |