Atkin-Lehner |
5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19975h |
Isogeny class |
Conductor |
19975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
1061171875 = 57 · 172 · 47 |
Discriminant |
Eigenvalues |
-1 -1 5+ -3 -3 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-438,-3344] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:22:1] [-10:17:1] |
Generators of the group modulo torsion |
j |
594823321/67915 |
j-invariant |
L |
3.6486192566786 |
L(r)(E,1)/r! |
Ω |
1.0513394127945 |
Real period |
R |
0.86761211752273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3995d1 |
Quadratic twists by: 5 |