Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840bd |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-4462318758240000 = -1 · 28 · 314 · 54 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6807,-3221206] |
[a1,a2,a3,a4,a6] |
Generators |
[223:2520:1] |
Generators of the group modulo torsion |
j |
-186906097744/23910744375 |
j-invariant |
L |
6.9470444991059 |
L(r)(E,1)/r! |
Ω |
0.19351035386862 |
Real period |
R |
1.4958382416013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680bu1 14280bf1 |
Quadratic twists by: -4 -3 |