Atkin-Lehner |
2+ 3- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52470c |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-1505947711596134400 = -1 · 232 · 37 · 52 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-106425,-60509075] |
[a1,a2,a3,a4,a6] |
j |
-182864522286982801/2065771895193600 |
j-invariant |
L |
0.45685549918541 |
L(r)(E,1)/r! |
Ω |
0.114213874603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490w1 |
Quadratic twists by: -3 |