Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47320y |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1148160 |
Modular degree for the optimal curve |
Δ |
-6.0003090875E+20 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,916600,1128797500] |
[a1,a2,a3,a4,a6] |
Generators |
[-450:25000:1] |
Generators of the group modulo torsion |
j |
2911986995665436/20516357421875 |
j-invariant |
L |
4.3114113147091 |
L(r)(E,1)/r! |
Ω |
0.11852410913288 |
Real period |
R |
1.3990698881247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999744 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640bh1 47320h1 |
Quadratic twists by: -4 13 |