Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3675n |
Isogeny class |
Conductor |
3675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-2296875 = -1 · 3 · 56 · 72 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -2 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-58,-206] |
[a1,a2,a3,a4,a6] |
Generators |
[13:37:1] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
2.1826766477147 |
L(r)(E,1)/r! |
Ω |
0.85867413901071 |
Real period |
R |
1.2709574846573 |
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 |
58800fm1 11025bb1 147c1 3675d1 |
Quadratic twists by: -4 -3 5 -7 |