Atkin-Lehner |
3- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33201h |
Isogeny class |
Conductor |
33201 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
181453856913 = 310 · 73 · 172 · 31 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ -4 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1535,-10362] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:57:1] [-24:122:1] |
Generators of the group modulo torsion |
j |
548347731625/248907897 |
j-invariant |
L |
5.3615738477823 |
L(r)(E,1)/r! |
Ω |
0.79614387957561 |
Real period |
R |
3.3672141338574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11067b1 |
Quadratic twists by: -3 |