Atkin-Lehner |
3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
105525n |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-3029029171875 = -1 · 310 · 56 · 72 · 67 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 0 0 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6600,-222719] |
[a1,a2,a3,a4,a6] |
Generators |
[95:87:1] |
Generators of the group modulo torsion |
j |
-2791309312/265923 |
j-invariant |
L |
5.0121773328185 |
L(r)(E,1)/r! |
Ω |
0.26341381474916 |
Real period |
R |
2.3784711848925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999763588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35175b1 4221f1 |
Quadratic twists by: -3 5 |