Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400gf |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-1021206528000000000 = -1 · 222 · 38 · 59 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-568875,172156250] |
[a1,a2,a3,a4,a6] |
Generators |
[250:6750:1] |
Generators of the group modulo torsion |
j |
-3491055413/175104 |
j-invariant |
L |
4.9425357298306 |
L(r)(E,1)/r! |
Ω |
0.27411459789296 |
Real period |
R |
2.2538637889545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550bj1 22800co1 68400ge1 |
Quadratic twists by: -4 -3 5 |