Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100df |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-2647600155270000 = -1 · 24 · 38 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25725,2941225] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1715:1] |
Generators of the group modulo torsion |
j |
-6400/9 |
j-invariant |
L |
6.9192722352542 |
L(r)(E,1)/r! |
Ω |
0.41002546292085 |
Real period |
R |
1.4062688094921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700bt1 44100cd1 44100dg1 |
Quadratic twists by: -3 5 -7 |