Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840bf |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-489404160 = -1 · 28 · 33 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177,-558] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-42:1] |
Generators of the group modulo torsion |
j |
88723728/70805 |
j-invariant |
L |
3.9491233344953 |
L(r)(E,1)/r! |
Ω |
0.92060160055943 |
Real period |
R |
0.53621503211749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680d1 42840d1 |
Quadratic twists by: -4 -3 |