Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576bn |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1.3256009931292E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -1 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,259880,-167672336] |
[a1,a2,a3,a4,a6] |
Generators |
[636:15952:1] |
Generators of the group modulo torsion |
j |
11743520417/80199288 |
j-invariant |
L |
4.5227848381639 |
L(r)(E,1)/r! |
Ω |
0.11160226882893 |
Real period |
R |
5.0657402461691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822k1 122304hy1 91728dx1 30576cv1 |
Quadratic twists by: -4 8 -3 -7 |