Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1050h |
Isogeny class |
Conductor |
1050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-252000000 = -1 · 28 · 32 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-101,848] |
[a1,a2,a3,a4,a6] |
Generators |
[3:22:1] |
Generators of the group modulo torsion |
j |
-7189057/16128 |
j-invariant |
L |
2.1683500451392 |
L(r)(E,1)/r! |
Ω |
1.5542673534383 |
Real period |
R |
0.69754731717886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8400bl1 33600ba1 3150bl1 42a1 |
Quadratic twists by: -4 8 -3 5 |