Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400g |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
38416000000 = 210 · 56 · 74 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -3 -6 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,24137] |
[a1,a2,a3,a4,a6] |
Generators |
[16:43:1] |
Generators of the group modulo torsion |
j |
12544 |
j-invariant |
L |
3.7457441941935 |
L(r)(E,1)/r! |
Ω |
1.1261246734575 |
Real period |
R |
3.3262251363141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400gb1 9800x1 3136a1 78400bf1 |
Quadratic twists by: -4 8 5 -7 |