Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600dl |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-5451776000 = -1 · 215 · 53 · 113 |
Discriminant |
Eigenvalues |
2- -3 5- -3 11- -4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-460,5200] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:80:1] [-6:88:1] |
Generators of the group modulo torsion |
j |
-2628072/1331 |
j-invariant |
L |
4.3140955245127 |
L(r)(E,1)/r! |
Ω |
1.2628237565238 |
Real period |
R |
0.14234288772245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17600cz1 8800k1 17600dk1 |
Quadratic twists by: -4 8 5 |