Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560bb |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-3504384000 = -1 · 211 · 34 · 53 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 1 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160,2900] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:60:1] |
Generators of the group modulo torsion |
j |
-1316978/10125 |
j-invariant |
L |
7.6100621217937 |
L(r)(E,1)/r! |
Ω |
1.2069529533528 |
Real period |
R |
0.13135802885297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20280t1 121680p1 40560p1 |
Quadratic twists by: -4 -3 13 |