Atkin-Lehner |
3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
1407f |
Isogeny class |
Conductor |
1407 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-3476175003 = -1 · 32 · 78 · 67 |
Discriminant |
Eigenvalues |
-2 3- 0 7- 2 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-68,2822] |
[a1,a2,a3,a4,a6] |
Generators |
[64:514:1] |
Generators of the group modulo torsion |
j |
-35287552000/3476175003 |
j-invariant |
L |
1.7616188936109 |
L(r)(E,1)/r! |
Ω |
1.1570224358617 |
Real period |
R |
0.095159071629139 |
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 |
22512k1 90048l1 4221h1 35175g1 |
Quadratic twists by: -4 8 -3 5 |