Atkin-Lehner |
3- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33201o |
Isogeny class |
Conductor |
33201 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-36765160551 = -1 · 38 · 73 · 17 · 312 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,814,-2464] |
[a1,a2,a3,a4,a6] |
Generators |
[12:88:1] |
Generators of the group modulo torsion |
j |
81916141607/50432319 |
j-invariant |
L |
2.3887430156477 |
L(r)(E,1)/r! |
Ω |
0.66854651878491 |
Real period |
R |
0.59550655751654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11067l1 |
Quadratic twists by: -3 |