Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200dx |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-2939328000000 = -1 · 212 · 38 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3525,-17750] |
[a1,a2,a3,a4,a6] |
Generators |
[21:256:1] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
5.3226195213988 |
L(r)(E,1)/r! |
Ω |
0.4659099872766 |
Real period |
R |
2.8560342484346 |
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 |
1575g1 100800me1 8400cd1 1008k1 |
Quadratic twists by: -4 8 -3 5 |