Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210r |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1197504 |
Modular degree for the optimal curve |
Δ |
-158403006641779200 = -1 · 29 · 33 · 52 · 78 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-975714,371376436] |
[a1,a2,a3,a4,a6] |
Generators |
[-682:27168:1] |
Generators of the group modulo torsion |
j |
-17819945097465049/27477619200 |
j-invariant |
L |
6.0165753706875 |
L(r)(E,1)/r! |
Ω |
0.32353555597095 |
Real period |
R |
3.0993890571643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63210l1 |
Quadratic twists by: -7 |