Atkin-Lehner |
2+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33640c |
Isogeny class |
Conductor |
33640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
1076480000 = 211 · 54 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 4 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280,972] |
[a1,a2,a3,a4,a6] |
j |
1414562/625 |
j-invariant |
L |
5.5841732468435 |
L(r)(E,1)/r! |
Ω |
1.3960433117116 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67280h1 33640i1 |
Quadratic twists by: -4 29 |