Atkin-Lehner |
2- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
32428a |
Isogeny class |
Conductor |
32428 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-3676683526912 = -1 · 28 · 118 · 67 |
Discriminant |
Eigenvalues |
2- 0 0 -2 11- -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9680,378004] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:605:1] |
Generators of the group modulo torsion |
j |
-221184000/8107 |
j-invariant |
L |
4.2108269664369 |
L(r)(E,1)/r! |
Ω |
0.78279104320916 |
Real period |
R |
2.6896238804507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129712s1 2948a1 |
Quadratic twists by: -4 -11 |