Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6450bn |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-40625712000 = -1 · 27 · 310 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -4 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,857,-823] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-571:1] |
Generators of the group modulo torsion |
j |
556832393083/325005696 |
j-invariant |
L |
6.4460653480995 |
L(r)(E,1)/r! |
Ω |
0.676598594158 |
Real period |
R |
0.068051166988154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51600ci1 19350bm1 6450g1 |
Quadratic twists by: -4 -3 5 |