Atkin-Lehner |
11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75647b |
Isogeny class |
Conductor |
75647 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46376 |
Modular degree for the optimal curve |
Δ |
-275198717651 = -1 · 11 · 132 · 236 |
Discriminant |
Eigenvalues |
0 -1 1 2 11- 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-705,26484] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:123:1] |
Generators of the group modulo torsion |
j |
-262144/1859 |
j-invariant |
L |
4.6530331121825 |
L(r)(E,1)/r! |
Ω |
0.84063516996878 |
Real period |
R |
2.7675698560516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
143a1 |
Quadratic twists by: -23 |