Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536dp |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-26776436736 = -1 · 226 · 3 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,191,7871] |
[a1,a2,a3,a4,a6] |
Generators |
[48693:2068480:27] |
Generators of the group modulo torsion |
j |
2924207/102144 |
j-invariant |
L |
5.5914588800952 |
L(r)(E,1)/r! |
Ω |
0.89661324673339 |
Real period |
R |
6.2361992759603 |
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 |
25536c1 6384u1 76608fk1 |
Quadratic twists by: -4 8 -3 |