Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080h |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
3529177391334400 = 210 · 52 · 1310 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38081,97319] |
[a1,a2,a3,a4,a6] |
Generators |
[-30392:751115:512] |
Generators of the group modulo torsion |
j |
43264/25 |
j-invariant |
L |
6.6114500206804 |
L(r)(E,1)/r! |
Ω |
0.3773440862428 |
Real period |
R |
8.7605056786848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080cd1 6760f1 54080bi1 |
Quadratic twists by: -4 8 13 |