Atkin-Lehner |
5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23275ba |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-279416375 = -1 · 53 · 76 · 19 |
Discriminant |
Eigenvalues |
-1 0 5- 7- -4 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15,-808] |
[a1,a2,a3,a4,a6] |
Generators |
[10:11:1] |
Generators of the group modulo torsion |
j |
27/19 |
j-invariant |
L |
2.2768549336033 |
L(r)(E,1)/r! |
Ω |
0.81086834880168 |
Real period |
R |
2.807921824755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23275y1 475c1 |
Quadratic twists by: 5 -7 |