Atkin-Lehner |
3- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67275be |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-354202875 = -1 · 36 · 53 · 132 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 1 -2 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,90,-844] |
[a1,a2,a3,a4,a6] |
Generators |
[10:32:1] |
Generators of the group modulo torsion |
j |
884736/3887 |
j-invariant |
L |
5.4057657140628 |
L(r)(E,1)/r! |
Ω |
0.86030799025266 |
Real period |
R |
0.78544047231367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7475g1 67275x1 |
Quadratic twists by: -3 5 |