Atkin-Lehner |
3- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33201i |
Isogeny class |
Conductor |
33201 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-3557918763 = -1 · 39 · 73 · 17 · 31 |
Discriminant |
Eigenvalues |
-2 3- 0 7- -6 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-615,6534] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:-95:1] |
Generators of the group modulo torsion |
j |
-35287552000/4880547 |
j-invariant |
L |
2.371604584873 |
L(r)(E,1)/r! |
Ω |
1.3598673142933 |
Real period |
R |
0.14533308752172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11067m1 |
Quadratic twists by: -3 |