Atkin-Lehner |
5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
1675c |
Isogeny class |
Conductor |
1675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-1046875 = -1 · 56 · 67 |
Discriminant |
Eigenvalues |
-2 2 5+ 2 -4 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-308,-1982] |
[a1,a2,a3,a4,a6] |
Generators |
[22:37:1] |
Generators of the group modulo torsion |
j |
-207474688/67 |
j-invariant |
L |
2.1079144673713 |
L(r)(E,1)/r! |
Ω |
0.56964727788343 |
Real period |
R |
1.8501926974912 |
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 |
26800be1 107200v1 15075g1 67a1 |
Quadratic twists by: -4 8 -3 5 |