Atkin-Lehner |
2- 3+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
5478j |
Isogeny class |
Conductor |
5478 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
4612608 |
Modular degree for the optimal curve |
Δ |
6.2296447131182E+23 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8707129363,-312727191070447] |
[a1,a2,a3,a4,a6] |
Generators |
[-2984786799931101927:1460109948696512522:55406562566867] |
Generators of the group modulo torsion |
j |
73004343986575294668452356853640625/622964471311819616550912 |
j-invariant |
L |
5.0932307377446 |
L(r)(E,1)/r! |
Ω |
0.015628986127176 |
Real period |
R |
23.27740216754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43824bi1 16434h1 60258e1 |
Quadratic twists by: -4 -3 -11 |