Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
95680bj |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
97976320 = 216 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 0 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,-575] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:8:1] |
Generators of the group modulo torsion |
j |
7086244/1495 |
j-invariant |
L |
4.7200438642984 |
L(r)(E,1)/r! |
Ω |
1.3595506848111 |
Real period |
R |
1.7358837419468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680l1 23920d1 |
Quadratic twists by: -4 8 |