Atkin-Lehner |
2- 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126420o |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
56220645272400 = 24 · 34 · 52 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19512845,-33169877250] |
[a1,a2,a3,a4,a6] |
j |
436493012606522097664/29866725 |
j-invariant |
L |
0.43099272122102 |
L(r)(E,1)/r! |
Ω |
0.071832239099211 |
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 |
18060g1 |
Quadratic twists by: -7 |