Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7600m |
Isogeny class |
Conductor |
7600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-1216000000 = -1 · 212 · 56 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -3 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,267,163] |
[a1,a2,a3,a4,a6] |
j |
32768/19 |
j-invariant |
L |
0.92284591373019 |
L(r)(E,1)/r! |
Ω |
0.92284591373019 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
475a1 30400bv1 68400ec1 304e1 |
Quadratic twists by: -4 8 -3 5 |