Atkin-Lehner |
2+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46816b |
Isogeny class |
Conductor |
46816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
-796995584 = -1 · 212 · 72 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- 11+ -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-808,8944] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:133:1] [4:76:1] |
Generators of the group modulo torsion |
j |
-14242881024/194579 |
j-invariant |
L |
5.7289539230148 |
L(r)(E,1)/r! |
Ω |
1.5964616810933 |
Real period |
R |
0.44856650733173 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46816i1 93632n1 |
Quadratic twists by: -4 8 |