Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560x |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
-4.1230293562224E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-554376,347207940] |
[a1,a2,a3,a4,a6] |
Generators |
[42:18000:1] |
Generators of the group modulo torsion |
j |
-1735192372/3796875 |
j-invariant |
L |
8.0016914333197 |
L(r)(E,1)/r! |
Ω |
0.18087273239321 |
Real period |
R |
2.211967311889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280r1 121680cc1 40560bf1 |
Quadratic twists by: -4 -3 13 |