Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850br |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
486 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-3.41972028657E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5079826,4415328548] |
[a1,a2,a3,a4,a6] |
Generators |
[1213:-6823:1] |
Generators of the group modulo torsion |
j |
-37111632961355475385/87544839336192 |
j-invariant |
L |
5.4399404479184 |
L(r)(E,1)/r! |
Ω |
0.20738102633003 |
Real period |
R |
0.48577075592309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
116550fv1 38850bw1 |
Quadratic twists by: -3 5 |