Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400ec |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-886464000000 = -1 · 212 · 36 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2400,-2000] |
[a1,a2,a3,a4,a6] |
Generators |
[4045:41373:125] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
6.6904496217571 |
L(r)(E,1)/r! |
Ω |
0.52663268026437 |
Real period |
R |
6.3521025873973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4275k1 7600m1 2736q1 |
Quadratic twists by: -4 -3 5 |