Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560m |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
101237760 = 210 · 32 · 5 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -6 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160,-560] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:12:1] |
Generators of the group modulo torsion |
j |
202612/45 |
j-invariant |
L |
4.5236775362252 |
L(r)(E,1)/r! |
Ω |
1.3629395710772 |
Real period |
R |
0.82976487590154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280m1 121680ba1 40560f1 |
Quadratic twists by: -4 -3 13 |