Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800bc |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-344321280000 = -1 · 211 · 38 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1725,-6050] |
[a1,a2,a3,a4,a6] |
Generators |
[8170:77652:125] |
Generators of the group modulo torsion |
j |
608350/369 |
j-invariant |
L |
7.3829236863324 |
L(r)(E,1)/r! |
Ω |
0.55713541710341 |
Real period |
R |
6.6257892258393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600bj1 73800ca1 |
Quadratic twists by: -3 5 |