Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32946v |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
12984068758044672 = 220 · 33 · 176 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-101734,-11230492] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:974:1] |
Generators of the group modulo torsion |
j |
4824238966273/537919488 |
j-invariant |
L |
10.007880893429 |
L(r)(E,1)/r! |
Ω |
0.26925795414099 |
Real period |
R |
1.2389458682669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98838i1 114c1 |
Quadratic twists by: -3 17 |