Atkin-Lehner |
3+ 5- 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755h |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-1416195495 = -1 · 36 · 5 · 112 · 132 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11+ 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1285,-18358] |
[a1,a2,a3,a4,a6] |
Generators |
[85:661:1] |
Generators of the group modulo torsion |
j |
-234668187084241/1416195495 |
j-invariant |
L |
2.7625728774119 |
L(r)(E,1)/r! |
Ω |
0.39855233613016 |
Real period |
R |
3.4657592328194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265p1 |
Quadratic twists by: -3 |