Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
84700n |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-30691800524000000 = -1 · 28 · 56 · 78 · 113 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,49867,7241137] |
[a1,a2,a3,a4,a6] |
Generators |
[323:7546:1] |
Generators of the group modulo torsion |
j |
2575826944/5764801 |
j-invariant |
L |
5.7974107383623 |
L(r)(E,1)/r! |
Ω |
0.25797093542915 |
Real period |
R |
0.46818991491628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3388a1 84700c1 |
Quadratic twists by: 5 -11 |